Annihilating Fields of Standard Modules of mathfrak sl 2 mathbb C sim and Combinatorial Identities is popular PDF and ePub book, written by Arne Meurman in 1999, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Annihilating Fields of Standard Modules of mathfrak sl 2 mathbb C sim and Combinatorial Identities can be Read Online from any device for your convenience.
Annihilating Fields of Standard Modules of mathfrak sl 2 mathbb C sim and Combinatorial Identities Book PDF Summary
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.
Detail Book of Annihilating Fields of Standard Modules of mathfrak sl 2 mathbb C sim and Combinatorial Identities PDF
- Author : Arne Meurman
- Release : 01 October 1999
- Publisher : American Mathematical Soc.
- ISBN : 9780821809235
- Genre : Mathematics
- Total Page : 105 pages
- Language : English
- PDF File Size : 21,9 Mb
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