Abstract
In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine sl2 Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.
Original language | English |
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Pages (from-to) | 176-198 |
Number of pages | 23 |
Journal | Journal of Algebra |
Volume | 313 |
Issue number | 1 SPEC. ISS. |
DOIs | |
State | Published - 1 Jul 2007 |
Externally published | Yes |
Keywords
- Demazure modules
- Kac-Moody algebras