Equality of elementary symplectic group and symplectic group
Commutative Algebra
2024-12-17 v1
Abstract
V.I. Kopeiko proved that over a euclidean ring, the symplectic group defined with respect to the standard skew-symmetric matrix is same as the elementary symplectic group. Here we generalise the result of Kopeiko for a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one.
Cite
@article{arxiv.2412.10696,
title = {Equality of elementary symplectic group and symplectic group},
author = {Ruddarraju Amrutha and Pratyusha Chattopadhyay},
journal= {arXiv preprint arXiv:2412.10696},
year = {2024}
}