Affine Lie algebras and product-sum identities

JOURNAL OF ALGEBRA

卷:314

Article

Jing, Naihuan ; Xia, Li-meng

关键词: Affine Lie algebras;    character formulas;    quintuple product identity;    vertex operators;   

DOI  :  10.1016/j.jalgebra.2007.04.004

来源: Elsevier

【 摘 要 】

We provide four different decompositions for a special infinite product first studied by I. Schur. Our product-sum decomposition gives two more correspondences between subsets of partitions with parts congruent to I or 5 modulo 6. Our method uses a special vertex representation of affine Lie algebra C(l) and 3 admissible representations of AM as well as quintuple product identity. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free