This article is cited in 3 papers

Weight multiplicity polynomials of multi-variable Weyl modules

S. Loktev

Institute for Theoretical and Experimental Physics, Moscow, Russia

Abstract: This paper is based on the observation that dimension of weight spaces of multi-variable Weyl modules depends polynomially on the highest weight. We support this conjecture by various explicit answers for up to three variable cases and discuss the underlying combinatorics.

Key words and phrases: current algebra, Weyl module.

MSC: 17B65, 17B10

Received: June 6, 2008; in revised form July 2, 2008

Language: English

DOI: 10.17323/1609-4514-2010-10-1-215-229

Bibliographic databases:

• 
•