Annihilating Fields of Standard Modules of sl(2, C) and Combinatorial Identities.

Meurman, Arne und Mirko Primc:

ISBN 10: 0821809237 / ISBN 13: 9780821809235

Published by American Mathematical Society, 1999

About this Item

89 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-00817 9780821809235 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2484655

Bibliographic Details

• Title: Annihilating Fields of Standard Modules of sl(2, C) and Combinatorial Identities.
• Publisher: American Mathematical Society
• Publication Date: 1999
• Language: English
• ISBN 10: 0821809237
• ISBN 13: 9780821809235
• Binding: Softcover
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\mathfrak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\mathfrak g}$-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 $\tilde{\mathfrak g}$-module---the set of relations that defines standard modules. In the case when $\tilde{\mathfrak g}$ 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.