On the conjugacy classes in the unitary, symplectic and orthogonal groups

1 February 1963

journal article
research article
Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society

Vol. 3 (1) , 1-62
https://doi.org/10.1017/s1446788700027622

Abstract

This paper is concerned with two mani problems:(a) the determination of the conjugacy classes in the finite-dimensional unitary, symplectic and orthogonal groups over division rings or fields;(b) the determination of the equivalence classes of non-degenerate sesquilinear forms on finite-dimensional vector spaces.

Keywords

CONJUGACY CLASSES
UNITARY
SYMPLECTIC
DIVISION RINGS
SESQUILINEAR FORMS
DEGENERATE SESQUILINEAR
DIMENSIONAL VECTOR
VECTOR SPACES
EQUIVALENCE CLASSES

This publication has 1 reference indexed in Scilit:

The Theory of Rings
Published by American Mathematical Society (AMS) ,1943