Equality of elementary linear and symplectic orbits with respect to an alternating form

Authors

Pratyusha Chattopadhyay, Indian Statistical Institute Bangalore
Ravi A. Rao, Tata Institute of Fundamental Research, Mumbai

Article Type

Research Article

Publication Title

Journal of Algebra

Abstract

An elementary symplectic group w.r.t. an invertible alternating matrix is defined. It is shown that the group of symplectic transvections of a symplectic module coincides with this elementary symplectic group in the free case. Equality of orbit spaces of a unimodular element under the action of the linear group, symplectic group, and symplectic group w.r.t. an invertible alternating matrix is established.

First Page

46

Last Page

64

DOI

10.1016/j.jalgebra.2015.12.001

Publication Date

4-1-2016

Comments

Open Access; Bronze Open Access

Recommended Citation

Chattopadhyay, Pratyusha and Rao, Ravi A., "Equality of elementary linear and symplectic orbits with respect to an alternating form" (2016). Journal Articles. 4192.
https://digitalcommons.isical.ac.in/journal-articles/4192