English

Gaussian Elimination in Symplectic and split orthogonal groups

Group Theory 2017-09-18 v3

Abstract

This paper studies an algorithm similar to that of Gaussian elimination in symplectic and orthogonal groups. We discuss two applications of this algorithm in computational group theory. One computes the spinor norm and the other computes the double coset decomposition with respect to Siegel maximal parabolic subgroup.

Keywords

Cite

@article{arxiv.1504.03794,
  title  = {Gaussian Elimination in Symplectic and split orthogonal groups},
  author = {Sushil Bhunia and Ayan Mahalanobis and Pralhad Shinde and Anupam Singh},
  journal= {arXiv preprint arXiv:1504.03794},
  year   = {2017}
}
R2 v1 2026-06-22T09:16:16.027Z