Weakly symmetric groups of Heisenberg type

被引：12

作者：

Berndt, J

Ricci, F

Vanhecke, L

机构：

[1] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[3] Katholieke Univ Leuven, Dept Math, B-3001 Heverlee, Belgium

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1998年 / 8卷 / 03期

关键词：

H-type groups; generalized Heisenberg groups; weakly symmetric spaces; commutative spaces;

D O I：

10.1016/S0926-2245(98)00014-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that an H-type group is weakly symmetric if and only if it is commutative. As a consequence we get the classification of all weakly symmetric H-type groups.

引用

页码：275 / 284

页数：10

共 50 条

[41] Weighted Rellich Inequality on H-Type Groups and Nonisotropic Heisenberg Groups
Jin, Yongyang
Han, Yazhou
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[42] Weighted Rellich Inequality on H-Type Groups and Nonisotropic Heisenberg Groups
Yongyang Jin
Yazhou Han
[J]. Journal of Inequalities and Applications, 2010
[43] Derived equivalence classification of weakly symmetric algebras of Euclidean type
Bocian, R
Holm, T
Skowronski, A
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 191 (1-2) : 43 - 74
[44] DERIVED EQUIVALENCE CLASSIFICATION OF WEAKLY SYMMETRIC ALGEBRAS OF DOMESTIC TYPE
Bocian, Rafal
Skowronski, Andrzej
[J]. COLLOQUIUM MATHEMATICUM, 2016, 142 (01) : 115 - 133
[45] FINITE TYPE REPRESENTATIONS OF INFINITE SYMMETRIC GROUPS
LIEBERMAN, A
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 1976, 38 (1-2): : 113 - 114
[46] NONCOMPACT GROUPS OF HERMITIAN SYMMETRIC TYPE AND FACTORIZATION
A. CAINE
D. PICKRELL
[J]. Transformation Groups, 2017, 22 : 105 - 124
[47] NONCOMPACT GROUPS OF HERMITIAN SYMMETRIC TYPE AND FACTORIZATION
Caine, A.
Pickrell, D.
[J]. TRANSFORMATION GROUPS, 2017, 22 (01) : 105 - 124
[48] IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS
罗光洲
[J]. Acta Mathematica Scientia, 2011, 31 (04) : 1583 - 1590
[49] Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category
Koshida, Shinji
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2023, 196
[50] A CENTRAL-LIMIT-THEOREM ON HEISENBERG TYPE-GROUPS
OHRING, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (02) : 529 - 536

← 1 2 3 4 5 →