Structure Of The Standard Modules For The Affine Lie Algebra A1 Superscript 1 PDF Download
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Author | : James Lepowsky |
Publisher | : |
Total Pages | : 84 |
Release | : 1985 |
Genre | : Lie algebras |
ISBN | : |
Download Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1) Book in PDF, ePub and Kindle
Author | : James Lepowsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 98 |
Release | : 1985-12-31 |
Genre | : Mathematics |
ISBN | : 9780821853962 |
Download Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1) Book in PDF, ePub and Kindle
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 | : Marly Mandia |
Publisher | : American Mathematical Soc. |
Total Pages | : 161 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 0821824236 |
Download Structures of the Level One Standard Modules for the Affine Lie Algebras $B_l^{(1)}$, $F_4^{(1)}$, and $G_2^{(1)}$ Book in PDF, ePub and Kindle
Author | : James Lepowsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 96 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821850482 |
Download Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ Book in PDF, ePub and Kindle
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
Author | : John Brillhart |
Publisher | : American Mathematical Soc. |
Total Pages | : 346 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0821850784 |
Download Factorizations of B[superscript N] [plus Or Minus Symbol] 1, B Book in PDF, ePub and Kindle
Author | : Edward Frenkel |
Publisher | : Cambridge University Press |
Total Pages | : 5 |
Release | : 2007-06-28 |
Genre | : Mathematics |
ISBN | : 0521854431 |
Download Langlands Correspondence for Loop Groups Book in PDF, ePub and Kindle
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author | : R.R. Bowker Company |
Publisher | : New York : R.R. Bowker |
Total Pages | : 1390 |
Release | : 1982 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Download Books in Series, 1876-1949 Book in PDF, ePub and Kindle
Author | : Victor G. Kac |
Publisher | : Springer Science & Business Media |
Total Pages | : 267 |
Release | : 2013-11-09 |
Genre | : Mathematics |
ISBN | : 1475713827 |
Download Infinite Dimensional Lie Algebras Book in PDF, ePub and Kindle
Author | : Alexander A. Kirillov |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2008-07-31 |
Genre | : Mathematics |
ISBN | : 0521889693 |
Download An Introduction to Lie Groups and Lie Algebras Book in PDF, ePub and Kindle
Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
Author | : Pavel Etingof |
Publisher | : American Mathematical Soc. |
Total Pages | : 344 |
Release | : 2016-08-05 |
Genre | : Algebraic topology |
ISBN | : 1470434415 |
Download Tensor Categories Book in PDF, ePub and Kindle
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.