Citation
Ym. Long et Cf. Zhu, Differentiable structure of omega-subsets of symplectic groups, SCI CHINA A, 44(5), 2001, pp. 545-554
Citations number
12
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511
→ ACNP
Volume
44
Issue
5
Year of publication
2001
Pages
545 - 554
Database
ISI
SICI code
1001-6511(200105)44:5<545:DSOOOS>2.0.ZU;2-X
Abstract
In this paper, we study the differentiable structure of the omega -subset o
f Sp(2 n), which is formed by all matrices in Sp(2 n) possessing omega as a
n eigenvalue, for w on the unit circle in the complex plane. Based on this
result the omega -index theory parametrized by all omega on the unit circle
for arbitrary symplectic paths is defined.