Geometric orbital integrals and the center of the enveloping algebra

被引：1

作者：

Bismut, Jean-Michel ^{[1
]}

Shen, Shu ^{[2
]}

机构：

[1] Univ Paris Saclay, Inst Math Orsay, Batiment 307, F-91405 Orsay, France

[2] Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, Case Courrier 247,4 Pl Jussieu, F-75252 Paris 05, France

来源：

COMPOSITIO MATHEMATICA | 2022年 / 158卷 / 06期

关键词：

Selberg trace formula; analysis on real and complex Lie groups; FIXED-POINT FORMULA; ELLIPTIC COMPLEXES; CHARACTER FORMULA; INDEX;

D O I：

10.1112/S0010437X22007412

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to extend the explicit geometric evaluation of semisimple orbital integrals for smooth kernels for the Casimir operator obtained by the first author to the case of kernels for arbitrary elements in the center of the enveloping algebra.

引用

页码：1189 / 1253

页数：66

共 50 条

[1] Semi-simple orbital integrals and center of the enveloping algebra
Bismut, Jean-Michel
Shen, Shu
COMPTES RENDUS MATHEMATIQUE, 2019, 357 (11-12) : 897 - 906
[2] CONSTRUCTION OF GENERATORS OF THE CENTER OF THE ENVELOPING ALGEBRA OF THE SYMPLECTIC ALGEBRA AND APPLICATION TO THE CENTER DETERMINATION OF THE ENVELOPING ALGEBRA OF A SEMIDIRECT PRODUCT
HOP, LV
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 304 (02): : 39 - 42
[3] GENERATORS OF THE CENTER OF A QUANTIZED ENVELOPING ALGEBRA
CALDERO, P
BULLETIN DES SCIENCES MATHEMATIQUES, 1994, 118 (02): : 177 - 208
[4] Geometric realisations of the unipotent enveloping algebra of a quiver
Hennecart, Lucien
ADVANCES IN MATHEMATICS, 2024, 441
[5] THE CENTER OF THE ENVELOPING ALGEBRA OF THE SEMIDIRECT PRODUCT OF THE HEISENBERG ALGEBRA AND A REDUCTIVE ALGEBRA
AHN, NH
VANHOP, L
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 303 (16): : 783 - 786
[6] ON THE SEMI-CENTER OF A UNIVERSAL ENVELOPING ALGEBRA
DELVAUX, L
NAUWELAERTS, E
OOMS, AI
JOURNAL OF ALGEBRA, 1985, 94 (02) : 324 - 346
[7] PRIMITIVE CONCEPTS FOR AN ENVELOPING ALGEBRA IN AN ORBITAL AND NILPOTENT LIE ALGEBRA IN A DUAL SPACE
CONZE, N
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1968, 267 (09): : 325 - &
[8] Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion
Marchesiello, A.
Snobl, L.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (14)
[9] THE CENTER OF THE UNIVERSAL ENVELOPING ALGEBRA FOR A COMPLETELY SOLVABLE LIE-ALGEBRA
PANYUKOV, VV
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1983, (05): : 37 - 41
[10] On the center of the enveloping algebra of a classical simple Lie superalgebra
Musson, IM
JOURNAL OF ALGEBRA, 1997, 193 (01) : 75 - 101

← 1 2 3 4 5 →