Back to Search Start Over

Determinants of sum of orbits under compact Lie group

Authors :
Tin-Yau Tam
Mary Clair Thompson
Source :
Linear Algebra and its Applications. 436:1644-1650
Publication Year :
2012
Publisher :
Elsevier BV, 2012.

Abstract

We study the determinants on the sum of orbits of two elements in the Lie algebra of a compact connected subgroup in the unitary group. As an application, the extremal determinant expressions are obtained for the symplectic group.

Subjects

Subjects :
Classical group
Numerical Analysis
Pure mathematics
Algebra and Number Theory
Symplectic group
Simple Lie group
Determinant
Adjoint orbit
Algebra
Unitary group
Representation of a Lie group
Discrete Mathematics and Combinatorics
Indefinite orthogonal group
Maximal torus
Geometry and Topology
Compact Lie group
Special unitary group
Mathematics

Details

ISSN :
00243795
Volume :
436
Database :
OpenAIRE
Journal :
Linear Algebra and its Applications
Accession number :
edsair.doi.dedup.....fa1a179a67c2ef69754725f6b0368edd
Full Text :
https://doi.org/10.1016/j.laa.2011.06.020
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details