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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