Whittaker modules for the twisted affine Nappi-Witten Lie algebra (H)over-cap4 [τ]

被引：10

作者：

Chen, Xue ^{[1
]}

Jiang, Cuipo ^{[2
]}

机构：

[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2020年 / 546卷

关键词：

Twisted affine Nappi-Witten Lie algebra; Whittaker vectors; Whittaker modules; IRREDUCIBLE REPRESENTATIONS;

D O I：

10.1016/j.jalgebra.2019.10.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Whittaker module M-psi and its quotient Whittaker module L-psi,L-xi for the twisted affine Nappi-Witten Lie algebra (H) over cap (4) [tau] are studied. For nonsingular type, it is proved that if xi not equal 0, then L-psi,L-xi is irreducible and any irreducible Whittaker (H) over cap (4)[tau]-module of type psi with k acting as a non-zero scalar xi is isomorphic to L-psi,L-xi. Furthermore, for xi = 0, all Whittaker vectors of L-psi,L-0 are completely determined. For singular type, the Whittaker vectors of L-psi,L-xi with xi not equal 0 are fully characterized. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：37 / 61

页数：25

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