Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2))

被引：0

作者：

Vershik, A. M. ^{[1
]}

Graev, M. I. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg Dept, VA Steklov Math Inst, St Petersburg 199034, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2014年 / 48卷 / 03期

关键词：

semisimple groups; special representations; Iwasawa subgroup; nonunitary representations; INTEGRAL MODELS; SERIES;

D O I：

10.1007/s10688-014-0057-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for constructing special nonunitary representations of semisimple Lie groups by using representations of Iwasawa subgroups is suggested. As a typical example, the group U(2, 2) is studied.

引用

页码：155 / 165

页数：11

共 10 条

[1] Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2))
A. M. Vershik
M. I. Graev
Functional Analysis and Its Applications, 2014, 48 : 155 - 165
[2] On the Dirac cohomology of complex lie group representations
Dong, Chao-Ping
TRANSFORMATION GROUPS, 2013, 18 (01) : 61 - 79
[3] Harish-Chandra Highest Weight Representations of Semisimple Lie Algebras and Lie Groups
Fioresi, Rita
Varadarajan, Veeravalli S.
JOURNAL OF LIE THEORY, 2023, 33 (01) : 217 - 252
[4] Unitary representations with Dirac cohomology: A finiteness result for complex Lie groups
Ding, Jian
Dong, Chao-Ping
FORUM MATHEMATICUM, 2020, 32 (04) : 941 - 964
[5] Square Integrable Representations of Reductive Lie Groups with Admissible Restriction to SL2(R)
Duflo, Michel
Galina, Esther
Vargas, Jorge A.
JOURNAL OF LIE THEORY, 2017, 27 (04) : 1033 - 1056
[6] 2-Adic properties for the numbers of representations in the alternating groups
Takegahara, Yugen
MONATSHEFTE FUR MATHEMATIK, 2021, 194 (02): : 339 - 370
[7] Galois cohomology of quasi-split groups over fields of cohomological dimension ≤2
Gille, P
COMPOSITIO MATHEMATICA, 2001, 125 (03) : 283 - 325
[8] Automorphic forms, cohomology and CAP representations. The case GL2 over a definite quaternion algebra
Grobner, Harald
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2013, 28 (01) : 19 - 48
[9] Projections Separating Spectra for L2 on Pseudounitary Groups U(p, q)
Neretin, Yury A.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (17) : 5256 - 5283
[10] U-Co Bimetallic-Organic Framework Showing a Helical 1D Pore Decorated by Abundant -CH3 Groups: Robust Nature under Acid, Base, and Water for High-Performance SO2 Removal
Xu, Ying
Fan, Yaling
Feng, Xue Feng
Luo, Feng
INORGANIC CHEMISTRY, 2021, 60 (24) : 18589 - 18592

← 1 →