Harmonic analysis of compact Lie supergroups

IF 0.8 4区 数学 Q2 MATHEMATICS
M.-K. Chuah, C.A. Cremonini, R. Fioresi
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引用次数: 0

Abstract

We realize the irreducible representations of a compact Lie supergroup , with a contragredient simple Lie superalgebra, in the space of square integrable (in the sense of Berezin) holomorphic sections on , is the real torus in the complexification of . We give an explicit realization of unitary representations when .
紧凑李超群的谐波分析
我们在平方可积分(在别列津的意义上)全态剖面空间中实现了紧凑李超群Ⅳ的不可还原表示,其上有一个对偶简单李超群,Ⅳ是Ⅳ的复数化中的实环面。 我们给出了当Ⅳ为Ⅳ时单元表示的明确实现。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
41
审稿时长
40 days
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