Differentiable structure of ω-subsets of symplectic groups

被引：0

作者：

Yiming Long

Chaofeng Zhu

机构：

[1] Nankai University,Nankai Institute of Mathematics

[2] Ministry of Education,Key Laboratory of Pure Mathematics and Combinatorics

来源：

Science in China Series A: Mathematics | 2001年 / 44卷

关键词：

symplectic group; ω-subset; stratification; differentiable structure; transversal structure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the differentiable structure of the ω-subset of Sp(2n), which is formed by all matrices in Sp(2n) possessing ω as an eigenvalue, for ω on the unit circle in the complex plane. Based on this result the ω -index theory parametrized by all ω on the unit circle for arbitrary symplectic paths is defined.

引用

页码：545 / 554

页数：9

共 50 条

[21] The structure of symplectic groups associated with a quadratic extension of fields
Bartolone, CG
Vaccaro, MA
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2003, 62 (1-2): : 7 - 42
[22] The Structure of Symplectic Groups over Arbitrary Commutative Rings
李福安
Acta Mathematica Sinica, 1987, (03) : 247 - 255
[23] The Structure of Symplectic Groups over Arbitrary Commutative Rings
李福安
Acta Mathematica Sinica,English Series, 1987, (03) : 247 - 255
[24] ON THE STRUCTURE OF THE HOLOMORPHIC REPRESENTATIONS OF THE NONCOMPACT SYMPLECTIC AND METAPLECTIC GROUPS
ROWE, DJ
CANADIAN JOURNAL OF PHYSICS, 1994, 72 (7-8) : 505 - 510
[25] On the structure of spectral and tiling subsets of cyclic groups
Malikiosis, Romanos Diogenes
FORUM OF MATHEMATICS SIGMA, 2022, 10
[26] The affine structure of gravitational theories: Symplectic groups and geometry
Capozziello, Salvatore
Cirilo-Lombardo, D. J.
De Laurentis, Mariafelicia
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (10)
[27] THE STRUCTURE OF SYMPLECTIC GROUPS OVER ARBITRARY COMMUTATIVE RINGS
LI, FA
KEXUE TONGBAO, 1987, 32 (21): : 1512 - 1512
[28] LIE-GROUPS WITH SYMPLECTIC OR INVARIANT KAHLER STRUCTURE
LICHNEROWICZ, A
LECTURE NOTES IN MATHEMATICS, 1990, 1416 : 192 - 209
[29] SYMPLECTIC GROUPS
CHRISTIAN, U
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (06) : 591 - 594
[30] Thoughts on symplectic groups and symplectic equations
Abhyankar, SS
Inglis, NFJ
ALGEBRA, ARITHMETIC AND GEOMETRY WITH APPLICATIONS: PAPERS FROM SHREERAM S ABHYANKARS 70TH BIRTHDAY CONFERENCE, 2004, : 63 - 126

← 1 2 3 4 5 →