Parafermionic Bases of Standard Modules for Twisted Affine Lie Algebras of Type A2l-1(2), Dl+1(2), E6(2) and D4(3)

被引：2
作者：
Okado, Masato [1 ,2 ]
Takenaka, Ryo [2 ]
机构：
[1] Osaka City Univ, Adv Math Inst, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan
[2] Osaka City Univ, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2023年 / 26卷 / 05期
关键词：
Vertex operator algebra; Affine Lie algebra; Parafermionic space; Fermionic character formula; PRINCIPAL SUBSPACES; VERTEX;
D O I：
10.1007/s10468-022-10145-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the bases of principal subspaces for twisted affine Lie algebras except A(2l)((2)) by Butorac and Sadowski, we construct bases of the highest weight modules of highest weight k Lambda(0) and parafermionic spases for the same affine Lie algebras. As a result, we obtain their character formulas conjectured in Hatayama et al. (2001).
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页码：1669 / 1690
页数：22
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