紧连通单李群实线性不可约表示矩阵元的Morse数的上估计

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-10-31 DOI:10.1090/spmj/1737

M. Meshcheryakov

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引用次数: 0

摘要

对紧连通单李群的实不可约线性表示的矩阵元素空间的莫尔斯数，从维数、表示的Dynkin指数、不变拉普拉斯算子的特征值和群的体积等方面，从上述出发，用各种方法进行了估计。

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Upper estimates of the Morse numbers for the matrix elements of real linear irreducible representations of compact connected simple Lie groups

The Morse numbers of spaces of matrix elements for real irreducible linear representations of compact connected simple Lie groups are estimate from above in a variety of ways, in terms of the dimension, the Dynkin index of the representation, the eigenvalues of the invariant Laplace operator, and the volume of the group.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.