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Author : James Lepowsky
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (15 download)
Download or read book Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1) written by James Lepowsky and published by . This book was released on 1985 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Lepowsky
Publisher : American Mathematical Soc.
ISBN 13 : 9780821853962
Total Pages : 98 pages
Book Rating : 4.8/5 (539 download)
Download or read book Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1) written by James Lepowsky and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: The affine Kac-Moody algebra $A_1^{(1)}$ has recently served as a source of new ideas in the representation theory of infinite-dimensional affine Lie algebras. In particular, several years ago it was discovered that $A_1^{(1)}$ and then a general class of affine Lie algebras could be constructed using operators related to the vertex operators of the physicists' string model. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1^{(1)}$-modules in the homogeneous realization. Aimed primarily at researchers in and students of Lie theory, the book's detailed and concrete exposition makes it accessible and illuminating even to relative newcomers to the field.
Author : Mathematical Sciences Research Institute (Berkeley, Calif.).
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)
Download or read book Structure of the Standard Modules for the Affine Lie Algebra A Subscript 1 Superscript(1). written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
, F4(1), and G2(1) PDF Online Free](https://books.google.com/books/content/images/frontcover/_33kwAEACAAJ?fife=w200-h370)
Author : Frank Rimlinger
Publisher :
ISBN 13 : 9780821824207
Total Pages : 54 pages
Book Rating : 4.8/5 (242 download)
Download or read book Structure of the Level One Standard Modules for the Affine Lie Algebras B[subscript L](1), F4(1), and G2(1) written by Frank Rimlinger and published by . This book was released on 1987 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Lepowsky
Publisher : American Mathematical Soc.
ISBN 13 : 0821850482
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)
Download or read book Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ written by James Lepowsky and published by American Mathematical Soc.. This book was released on 1985 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou
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Author : John Brillhart
Publisher : American Mathematical Soc.
ISBN 13 : 0821850784
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)
Download or read book Factorizations of B[superscript N] [plus Or Minus Symbol] 1, B written by John Brillhart and published by American Mathematical Soc.. This book was released on 1988 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christopher Michael Sadowski
Publisher :
ISBN 13 :
Total Pages : 95 pages
Book Rating : 4.:/5 (889 download)
Download or read book On the Structure of Principal Subspaces of Standard Modules for Affine Lie Algebras of Type A written by Christopher Michael Sadowski and published by . This book was released on 2014 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the theory of vertex operator algebras and intertwining operators, we obtain presentations for the principal subspaces of all the standard $widehat{goth{sl}(3)}$-modules. Certain of these presentations had been conjectured and used in work of Calinescu to construct exact sequences leading to the graded dimensions of certain principal subspaces. We prove the conjecture in its full generality for all standard $widehat{goth{sl}(3)}$-modules. We then provide a conjecture for the case of $widehat{goth{sl}(n)}$, $n ge 4$. In addition, we construct completions of certain universal enveloping algebras and provide a natural setting for families of defining relations for the principal subspaces of standard modules for untwisted affine Lie algebras. We also use the theory of vertex operator algebras and intertwining operators, along with conjecturally assumed presentations for certain principal subspaces, to construct exact sequences among principal subspaces of certain standard $widehat{mathfrak{sl}(n)}$-modules, $n ge 3$. As a consequence, we obtain the multigraded dimensions of the principal subspaces $W(k_1Lambda_1 + k_2 Lambda_2)$ and $W(k_{n-2}Lambda_{n-2} + k_{n-1} Lambda_{n-1})$. This generalizes earlier work by Calinescu on principal subspaces of standard $widehat{mathfrak{sl}(3)}$-modules, where similar assumptions were made.
Author : Vjačeslav M. Futorny
Publisher :
ISBN 13 : 9788255307389
Total Pages : 26 pages
Book Rating : 4.3/5 (73 download)
Download or read book On Imaginary Verma Modules Over the Affine Lie Algebra A1(1) written by Vjačeslav M. Futorny and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward Frenkel
Publisher : Cambridge University Press
ISBN 13 : 0521854431
Total Pages : 5 pages
Book Rating : 4.5/5 (218 download)
Download or read book Langlands Correspondence for Loop Groups written by Edward Frenkel and published by Cambridge University Press. This book was released on 2007-06-28 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author : Victor G. Kac
Publisher : Springer Science & Business Media
ISBN 13 : 1475713827
Total Pages : 267 pages
Book Rating : 4.4/5 (757 download)
Download or read book Infinite Dimensional Lie Algebras written by Victor G. Kac and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.R. Bowker Company
Publisher : New York : R.R. Bowker
ISBN 13 :
Total Pages : 1390 pages
Book Rating : 4.F/5 ( download)
Download or read book Books in Series, 1876-1949 written by R.R. Bowker Company and published by New York : R.R. Bowker. This book was released on 1982 with total page 1390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander A. Kirillov
Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)
Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author : Pavel Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 1470434415
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)
Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.
Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.F/5 ( download)
Download or read book The Classical Groups written by Hermann Weyl and published by . This book was released on 1946 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.
Author : Victor G. Kac
Publisher : American Mathematical Soc.
ISBN 13 : 082181396X
Total Pages : 209 pages
Book Rating : 4.8/5 (218 download)
Download or read book Vertex Algebras for Beginners written by Victor G. Kac and published by American Mathematical Soc.. This book was released on 1998 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conformal field theory. It includes material on the foundations of a rapidly growing area of algebraic conformal theory.
Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author : Robert Steinberg
Publisher : American Mathematical Soc.
ISBN 13 : 147043105X
Total Pages : 175 pages
Book Rating : 4.4/5 (74 download)
Download or read book Robert Steinberg written by Robert Steinberg and published by American Mathematical Soc.. This book was released on 2016-12-22 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Steinberg's Lectures on Chevalley Groups were delivered and written during the author's sabbatical visit to Yale University in the 1967–1968 academic year. The work presents the status of the theory of Chevalley groups as it was in the mid-1960s. Much of this material was instrumental in many areas of mathematics, in particular in the theory of algebraic groups and in the subsequent classification of finite groups. This posthumous edition incorporates additions and corrections prepared by the author during his retirement, including a new introductory chapter. A bibliography and editorial notes have also been added.
