Combinatorial Problems Related To Kostants Weight Multiplicity Formula

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A Primer for Undergraduate Research

Author : Aaron Wootton
Publisher : Birkhäuser
ISBN 13 : 3319660659
Total Pages : 314 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis A Primer for Undergraduate Research by : Aaron Wootton

Download or read book A Primer for Undergraduate Research written by Aaron Wootton and published by Birkhäuser. This book was released on 2018-02-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading. The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.

Power in Numbers

Author : Talithia Williams
Publisher : Quarto Publishing Group USA
ISBN 13 : 0760360286
Total Pages : 227 pages
Book Rating : 4.7/5 (63 download)

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Book Synopsis Power in Numbers by : Talithia Williams

Download or read book Power in Numbers written by Talithia Williams and published by Quarto Publishing Group USA. This book was released on 2018-04-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: From rocket scientists to code breakers, “fascinating stories” of women who overcame obstacles, shattered stereotypes, and pursued their passion for math (Notices of the American Mathematical Society). With more than 200 photos and original interviews with several of the amazing women covered, Power in Numbers: The Rebel Women of Mathematics is a full-color volume that puts a spotlight on the influence of women on the development of mathematics over the last two millennia. Each biography reveals the life of a different female mathematician, from her childhood and early influences to the challenges she faced and the great achievements she made in spite of them. Learn how: After her father terminated her math lessons, Sofia Kovalevskaya snuck algebra books into her bed to read at night Emmy Noether became an invaluable resource to Albert Einstein while she was in the Navy Native American rocket scientist Mary Golda Ross developed designs for fighter jets and missiles in a top-secret unit Katherine Johnson’s life-or-death calculations at NASA meant that astronauts such as Alan Shepard and John Glenn made it home alive Shakuntala Devi multiplied massive numbers in her head so her family could eat at night Pamela Harris proved her school counselors wrong when they told her she would only succeed as a bilinguial secretary Carla Cotwright-Williams began her life in the dangerous streets of South-Central Los Angeles before skyrocketing to a powerful career with the Department of Defense in Washington, DC These women are a diverse group, but their stories have one thing in common: At some point on their journeys, someone believed in them—and made them think the impossible was perhaps not so impossible. “A quick read . . . full of dramatic stories and eye-catching illustrations.” —MAA Reviews “I found myself marveling at the personal anecdotes and quotes throughout the book.” —Notices of the American Mathematical Society

A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods

Author : Johan G. F. Belinfante
Publisher : SIAM
ISBN 13 : 0898712432
Total Pages : 168 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods by : Johan G. F. Belinfante

Download or read book A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods written by Johan G. F. Belinfante and published by SIAM. This book was released on 1989-01-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this reprint edition, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed

Physics And Combinatorics, Procs Of Nagoya 1999 Intl Wkshp

Author : Anatol N Kirillov
Publisher : World Scientific
ISBN 13 : 9814491357
Total Pages : 408 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Physics And Combinatorics, Procs Of Nagoya 1999 Intl Wkshp by : Anatol N Kirillov

Download or read book Physics And Combinatorics, Procs Of Nagoya 1999 Intl Wkshp written by Anatol N Kirillov and published by World Scientific. This book was released on 2001-04-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and review papers on different branches of mathematics and mathematical physics, written by the leading specialists. Among the contributed papers are articles on: (i) multiple basic hypergeometric functions with applications to the number theory, (ii) birational representations of affine Weyl groups with applications to discrete integrable systems, (iii) algebraic geometry and Painleve VI, and (iv) combinatorics of Kostka-Foulkes polynomials.

Mathematics Into the Twenty-first Century

Author : American Mathematical Society
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801673
Total Pages : 514 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Mathematics Into the Twenty-first Century by : American Mathematical Society

Download or read book Mathematics Into the Twenty-first Century written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1992 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the summer of 1988 in Providence, the AMS celebrated its centennial with a wide range of mathematical activities. Among those was a symposium, Mathematics into the Twenty-first Century, which brought together a number of the top research mathematicians who will likely have a significant impact on the mathematics of this century. This book contains the lectures presented by 16 of the 18 individuals who spoke during the symposium. Written by some of the major international figures in mathematical research, this group of articles covers a panorama of the vital areas of mathematics at the turn of the 21st century and gives the general mathematical reader a broad perspective on some of the major trends in research.

Introduction to Lie Algebras and Representation Theory

Author : J.E. Humphreys
Publisher : Springer Science & Business Media
ISBN 13 : 1461263980
Total Pages : 189 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Lie Algebras and Representation Theory by : J.E. Humphreys

Download or read book Introduction to Lie Algebras and Representation Theory written by J.E. Humphreys and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.

American Mathematical Society Translations

Author : United States. Office of Naval Research
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896051
Total Pages : 268 pages
Book Rating : 4.8/5 (96 download)

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Book Synopsis American Mathematical Society Translations by : United States. Office of Naval Research

Download or read book American Mathematical Society Translations written by United States. Office of Naval Research and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this collection present new results in combinatorics, algebra, algebraic geometry, dynamical systems, analysis, and probability. Of particular interest is the survey article by A. N. Kirillov devoted to combinatorics of Young diagrams and related problems of representation theory. Also included are articles devoted to the eightieth birthday of renowned Russian mathematician, V. A. Rokhlin, ``Remembrances of V. A. Rokhlin'', by I. R. Shafarevich, and ``An Unfinished Project of V.A. Rokhlin'', by V. N. Sudakov. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Stability Properties for Q-multiplicities and Branching Formulas for Representations of the Classical Groups

Author : Jeb Faulkner Willenbring
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Stability Properties for Q-multiplicities and Branching Formulas for Representations of the Classical Groups by : Jeb Faulkner Willenbring

Download or read book Stability Properties for Q-multiplicities and Branching Formulas for Representations of the Classical Groups written by Jeb Faulkner Willenbring and published by . This book was released on 2000 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Finite and Infinite Dimensional Lie (Super)algebras

Author : Neelacanta Sthanumoorthy
Publisher : Academic Press
ISBN 13 : 012804683X
Total Pages : 514 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Introduction to Finite and Infinite Dimensional Lie (Super)algebras by : Neelacanta Sthanumoorthy

Download or read book Introduction to Finite and Infinite Dimensional Lie (Super)algebras written by Neelacanta Sthanumoorthy and published by Academic Press. This book was released on 2016-04-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. - Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory - Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities - Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras - Focuses on Kac-Moody algebras

Topics in Algebra

Author : Stanisław Balcerzyk
Publisher :
ISBN 13 : 9788301095796
Total Pages : 520 pages
Book Rating : 4.0/5 (957 download)

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Book Synopsis Topics in Algebra by : Stanisław Balcerzyk

Download or read book Topics in Algebra written by Stanisław Balcerzyk and published by . This book was released on 1990 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatory Analysis

Author : Percy A. MacMahon
Publisher : Courier Corporation
ISBN 13 : 9780486495866
Total Pages : 770 pages
Book Rating : 4.4/5 (958 download)

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Book Synopsis Combinatory Analysis by : Percy A. MacMahon

Download or read book Combinatory Analysis written by Percy A. MacMahon and published by Courier Corporation. This book was released on 2004-07-06 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.

Affine Lie Algebras, Weight Multiplicities, and Branching Rules

Author : Sam Kass
Publisher : Univ of California Press
ISBN 13 : 9780520067684
Total Pages : 312 pages
Book Rating : 4.0/5 (676 download)

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Book Synopsis Affine Lie Algebras, Weight Multiplicities, and Branching Rules by : Sam Kass

Download or read book Affine Lie Algebras, Weight Multiplicities, and Branching Rules written by Sam Kass and published by Univ of California Press. This book was released on 1990-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 00 This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference. This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference.

Dirac Operators in Representation Theory

Author : Jing-Song Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0817644938
Total Pages : 205 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dirac Operators in Representation Theory by : Jing-Song Huang

Download or read book Dirac Operators in Representation Theory written by Jing-Song Huang and published by Springer Science & Business Media. This book was released on 2007-05-27 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.

Science and Computers

Author : Gian-Carlo Rota
Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Science and Computers by : Gian-Carlo Rota

Download or read book Science and Computers written by Gian-Carlo Rota and published by . This book was released on 1986 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nicholas Metropolis is best know for his contributions to the Monte Carlo method--including the algorithm for computerization of the calculations for same--integro-differential equations, and the development of the digital computer. The papers in this volume may be on related subjects, subjects wherein Metropolis's work served as inspiration, and as extensions of subject matter Metropolis explored.

Schubert Calculus and Its Applications in Combinatorics and Representation Theory

Author : Jianxun Hu
Publisher : Springer Nature
ISBN 13 : 9811574510
Total Pages : 367 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Schubert Calculus and Its Applications in Combinatorics and Representation Theory by : Jianxun Hu

Download or read book Schubert Calculus and Its Applications in Combinatorics and Representation Theory written by Jianxun Hu and published by Springer Nature. This book was released on 2020-10-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.

The Orbit Method in Geometry and Physics

Author : Christian Duval
Publisher : Springer Science & Business Media
ISBN 13 : 1461200296
Total Pages : 478 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Orbit Method in Geometry and Physics by : Christian Duval

Download or read book The Orbit Method in Geometry and Physics written by Christian Duval and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and remains a useful and powerful tool in such areas as Lie theory, representation theory, integrable systems, complex geometry, and mathematical physics. Among the distinguished names associated with the orbit method is that of A.A. Kirillov, whose pioneering paper on nilpotent orbits (1962), places him as the founder of orbit theory. The original research papers in this volume are written by prominent mathematicians and reflect recent achievements in orbit theory and other closely related areas such as harmonic analysis, classical representation theory, Lie superalgebras, Poisson geometry, and quantization. Contributors: A. Alekseev, J. Alev, V. Baranovksy, R. Brylinski, J. Dixmier, S. Evens, D.R. Farkas, V. Ginzburg, V. Gorbounov, P. Grozman, E. Gutkin, A. Joseph, D. Kazhdan, A.A. Kirillov, B. Kostant, D. Leites, F. Malikov, A. Melnikov, P.W. Michor, Y.A. Neretin, A. Okounkov, G. Olshanski, F. Petrov, A. Polishchuk, W. Rossmann, A. Sergeev, V. Schechtman, I. Shchepochkina. The work will be an invaluable reference for researchers in the above mentioned fields, as well as a useful text for graduate seminars and courses.