Structures Of The Level One Standard Modules For The Affine Lie Algebras B L1 F 41 And G 21 PDF Download
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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 | : 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 | : |
Total Pages | : |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Structure of the Standard Modules for the Affine Lie Algebra A(1)1 Book in PDF, ePub and Kindle
Author | : Arne Meurman |
Publisher | : American Mathematical Soc. |
Total Pages | : 105 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821809237 |
Download Annihilating Fields of Standard Modules of $\mathfrak {sl}(2, \mathbb {C})^\sim $ and Combinatorial Identities Book in PDF, ePub and Kindle
In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\frak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\frak g}$-modules are modules for this vertex operator algebra. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\frak g}$-module--the set of relations that defines standard modules. In the case when $\tilde{\frak g}$ is of type $A{(1)} 1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.
Author | : Robert Wisbauer |
Publisher | : CRC Press |
Total Pages | : 384 |
Release | : 1996-05-15 |
Genre | : Mathematics |
ISBN | : 9780582289819 |
Download Modules and Algebras Book in PDF, ePub and Kindle
Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
Author | : Erhard Neher |
Publisher | : American Mathematical Soc. |
Total Pages | : 226 |
Release | : |
Genre | : Mathematics |
ISBN | : 0821871617 |
Download Geometric Representation Theory and Extended Affine Lie Algebras Book in PDF, ePub and Kindle
This text presents lectures given at the Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras held at the University of Ottawa in 2009. It provides a systematic account by experts of some of the developments in Lie algebras and representation theory in the last two decades.
Author | : |
Publisher | : |
Total Pages | : 820 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews 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 | : Suzanne Kay Lindborg |
Publisher | : |
Total Pages | : 136 |
Release | : 2004 |
Genre | : Kac-Moody algebras |
ISBN | : |
Download Representations of Affine Lie Algebras of Level Zero Book in PDF, ePub and Kindle
Author | : |
Publisher | : World Scientific |
Total Pages | : 274 |
Release | : 2009 |
Genre | : |
ISBN | : 1848165196 |
Download Lectures on Sl_2(c)-modules Book in PDF, ePub and Kindle