Generalized Gelfand Pairs Associated to m-Step Nilpotent Lie Groups

被引：1

作者：

Campos, Silvina ^{[1
]}

Garcia, Jose ^{[1
]}

Saal, Linda ^{[2
]}

机构：

[1] CIUNSa Univ Nacl Salta, Fac Ciencias Exactas, Ave Bolivia 5150, RA-4400 Salta, Argentina

[2] Univ Nacl Cordoba, FAMAF CIEM, Ciudad Univ, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 02期

关键词：

Generalized Gelfand pairs; Nilpotent Lie groups; REPRESENTATIONS;

D O I：

10.1007/s12220-022-01099-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a nilpotent Lie group and K a compact subgroup of the automorphism group Aut(N) of N. It is well known that if (K alpha N, K)is a Gelfand pair then N is at most 2-step nilpotent Lie group. This notion has been generalized to non-compact groups K. In this work, we exhibit a family(K-m alpha N-m, K-m) of generalized Gelfand pairs,where N-m is a m+2-step nilpotent Lie group and K-m is isomorphic to Rm+1.

引用

页数：19

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