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Author : Jonah David Blasiak
Publisher :
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.:/5 (35 download)
Download or read book Cyclage, Catabolism, and the Affine Hecke Algebra written by Jonah David Blasiak and published by . This book was released on 2009 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Lam
Publisher : American Mathematical Soc.
ISBN 13 : 082187294X
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Poset of $k$-Shapes and Branching Rules for $k$-Schur Functions written by Thomas Lam and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian $\mathrm{Gr}_{\mathrm{SL}_k}$ into Schubert homology classes in $\mathrm{Gr}_{\mathrm{SL}_{k+1}}$. This is achieved by studying the combinatorics of a new class of partitions called $k$-shapes, which interpolates between $k$-cores and $k+1$-cores. The authors define a symmetric function for each $k$-shape, and show that they expand positively in terms of dual $k$-Schur functions. They obtain an explicit combinatorial description of the expansion of an ungraded $k$-Schur function into $k+1$-Schur functions. As a corollary, they give a formula for the Schur expansion of an ungraded $k$-Schur function.
Author : Nalini Joshi
Publisher : American Mathematical Soc.
ISBN 13 : 1470450380
Total Pages : 154 pages
Book Rating : 4.4/5 (74 download)
Download or read book Discrete Painlevé Equations written by Nalini Joshi and published by American Mathematical Soc.. This book was released on 2019-05-30 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Painlevé equations are nonlinear difference equations, which arise from translations on crystallographic lattices. The deceptive simplicity of this statement hides immensely rich mathematical properties, connecting dynamical systems, algebraic geometry, Coxeter groups, topology, special functions theory, and mathematical physics. This book necessarily starts with introductory material to give the reader an accessible entry point to this vast subject matter. It is based on lectures that the author presented as principal lecturer at a Conference Board of Mathematical Sciences and National Science Foundation conference in Texas in 2016. Instead of technical theorems or complete proofs, the book relies on providing essential points of many arguments through explicit examples, with the hope that they will be useful for applied mathematicians and physicists.
Author : Y. Eliashberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821820759
Total Pages : 276 pages
Book Rating : 4.8/5 (27 download)
Download or read book Northern California Symplectic Geometry Seminar written by Y. Eliashberg and published by American Mathematical Soc.. This book was released on 1999 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 12 papers are from various meeting of the seminar, which has met regularly since 1989. They discuss the quantization of symplectic orbitfolds and group actions; Hamiltonian dynamical systems without period orbits; the stabilization of symplectic inequalities and applications; Engel deformations and contact structures; quantum products for mapping tori and the Atiya-Floer conjecture; the cohomology rings of Hamiltonian T-spaces; symmetric spaces, Kahler geometry, and Hamiltonian dynamics; the mirror formula for quintic threefolds; the virtual moduli cycle; Floer homology, Novikov rings, and complete intersections; surgery, quantum cohomology, and birational geometry; and group symplectic automorphisms. They are not indexed. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Mi-Ho Giga
Publisher : Springer Science & Business Media
ISBN 13 : 0817646515
Total Pages : 307 pages
Book Rating : 4.8/5 (176 download)
Download or read book Nonlinear Partial Differential Equations written by Mi-Ho Giga and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.
Author : Mike Steel
Publisher : SIAM
ISBN 13 : 161197447X
Total Pages : 302 pages
Book Rating : 4.6/5 (119 download)
Download or read book Phylogeny written by Mike Steel and published by SIAM. This book was released on 2016-09-29 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phylogenetics is a topical and growing area of research. Phylogenies (phylogenetic trees and networks) allow biologists to study and graph evolutionary relationships between different species. These are also used to investigate other evolutionary processes?for example, how languages developed or how different strains of a virus (such as HIV or influenza) are related to each other. This self-contained book addresses the underlying mathematical theory behind the reconstruction and analysis of phylogenies. The theory is grounded in classical concepts from discrete mathematics and probability theory as well as techniques from other branches of mathematics (algebra, topology, differential equations). The biological relevance of the results is highlighted throughout. The author supplies proofs of key classical theorems and includes results not covered in existing books, emphasizes relevant mathematical results derived over the past 20 years, and provides numerous exercises, examples, and figures.
Author : Alex Lubotzky
Publisher : Springer Science & Business Media
ISBN 13 : 3034603320
Total Pages : 201 pages
Book Rating : 4.0/5 (346 download)
Download or read book Discrete Groups, Expanding Graphs and Invariant Measures written by Alex Lubotzky and published by Springer Science & Business Media. This book was released on 2010-02-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.
Author : J. Donald Monk
Publisher : Springer Science & Business Media
ISBN 13 : 3034603347
Total Pages : 308 pages
Book Rating : 4.0/5 (346 download)
Download or read book Cardinal Invariants on Boolean Algebras written by J. Donald Monk and published by Springer Science & Business Media. This book was released on 2010-03-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.
Author : Felix Klein
Publisher : Springer Science & Business Media
ISBN 13 : 081764721X
Total Pages : 297 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Theory of the Top. Volume I written by Felix Klein and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture series on the Theory of the Top was originally given as a dedication to Göttingen University by Felix Klein in 1895, but has since found broader appeal. The Theory of the Top: Volume I. Introduction to the Kinematics and Kinetics of the Top is the first of a series of four self-contained English translations that provide insights into kinetic theory and kinematics.
Author : Felix Klein
Publisher : Birkhäuser
ISBN 13 : 9780817647209
Total Pages : 280 pages
Book Rating : 4.6/5 (472 download)
Download or read book The Theory of the Top. Volume I written by Felix Klein and published by Birkhäuser. This book was released on 2008-09-10 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture series on the Theory of the Top was originally given as a dedication to Göttingen University by Felix Klein in 1895, but has since found broader appeal. The Theory of the Top: Volume I. Introduction to the Kinematics and Kinetics of the Top is the first of a series of four self-contained English translations that provide insights into kinetic theory and kinematics.
Author : Ivan Cherednik
Publisher : Cambridge University Press
ISBN 13 : 9781139441254
Total Pages : 452 pages
Book Rating : 4.4/5 (412 download)
Download or read book Double Affine Hecke Algebras written by Ivan Cherednik and published by Cambridge University Press. This book was released on 2005-03-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an essentially self-contained monograph in an intriguing field of fundamental importance for Representation Theory, Harmonic Analysis, Mathematical Physics, and Combinatorics. It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their relations to affine Hecke algebras, Kac-Moody algebras, and Fourier analysis. Chapter 2 contains a systematic exposition of the representation theory of the one-dimensional DAHA. It is the simplest case but far from trivial with deep connections in the theory of special functions. Chapter 3 is about DAHA in full generality, including applications to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This book is designed for mathematicians and physicists, experts and students, for those who want to master the double Hecke algebra technique. Visit http://arxiv.org/math.QA/0404307 to read Chapter 0 and selected topics from other chapters.
Author : I. G. Macdonald
Publisher : Cambridge University Press
ISBN 13 : 9780521824729
Total Pages : 200 pages
Book Rating : 4.8/5 (247 download)
Download or read book Affine Hecke Algebras and Orthogonal Polynomials written by I. G. Macdonald and published by Cambridge University Press. This book was released on 2003-03-20 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.
Author : ZHAOBING;LAI FAN (CHUN-JU;LI, YIQIANG.)
Publisher :
ISBN 13 : 9781470473198
Total Pages : 0 pages
Book Rating : 4.4/5 (731 download)
Download or read book AFFINE HECKE ALGEBRAS AND QUANTUM SYMMETRIC PAIRS. written by ZHAOBING;LAI FAN (CHUN-JU;LI, YIQIANG.) and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
