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

Chattopadhyay, Pratyusha ; Rao, Ravi A. (2016) Equality of elementary linear and symplectic orbits with respect to an alternating form Journal of Algebra, 451 . pp. 46-64. ISSN 0021-8693

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jalgebra.2015.12.001

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Unimodular Rows; Symplectic Group; Group Action; Transvections
ID Code:107109
Deposited On:26 Dec 2017 11:21
Last Modified:26 Dec 2017 11:21

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