A Fock space approach to representation theory of osp(2|2n)

被引：6

作者：

Cheng, Shun-Jen ^{[1
]}

Wang, Weiqiang

Zhang, R. B.

机构：

[1] Acad Sinica, Inst Math, Taipei 115, Taiwan

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[3] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

TRANSFORMATION GROUPS | 2007年 / 12卷 / 02期

关键词：

D O I：

10.1007/s00031-006-0040-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Fock space is introduced that admits an action of a quantum group of type A supplemented with some extra operators. The canonical and dual canonical basis of the Fock space are computed and then used to derive the finite-dimensional tilting and irreducible characters for the Lie superalgebra osp(2 vertical bar 2n). We also determine all the composition factors of the symmetric tensors of the natural osp(2 vertical bar 2n)-module.

引用

页码：209 / 225

页数：17

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