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arXiv · 2412.10696

Equality of elementary symplectic group and symplectic group

Ruddarraju Amrutha·Pratyusha Chattopadhyay
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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.

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Ruddarraju Amrutha, Pratyusha Chattopadhyay. 2024-12-14. Equality of elementary symplectic group and symplectic group. https://arxiv.org/abs/2412.10696

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