A note on principal subspaces of the affine lie algebras in types Bl(1),Cl(1),F4(1) and G2(1)

被引：3
|
作者：
Butorac, Marijana [1 ]
机构：
[1] Univ Rijeka, Dept Math, Radmile Matejcic 2, Rijeka 51000, Croatia
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 12期
关键词：
Affine Lie algebras; combinatorial bases; principal subspaces; quasi-particles; vertex operator algebras; VERTEX OPERATOR-ALGEBRAS; CONFORMAL FIELD-THEORIES; QUASI-PARTICLE BASES; COMBINATORIAL BASES; MODULES; EXTENSIONS; CHARACTERS;
D O I：
10.1080/00927872.2020.1788046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct quasi-particle bases of principal subspaces of standard modules L(Lambda), where Lambda - k(0)Lambda(0) + k(j)Lambda(j), and Lambda(j) denotes the fundamental weight of affine Lie algebras of type B-1((1)), C-1((1)), F-4((1)) or G(2)((1)) of level one. From the given bases we find characters of principal subspaces.
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页码：5343 / 5359
页数：17
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