paper

Algorithms in Linear Algebraic Groups

arXiv:2003.06292 · doi:10.1007/s00006-020-01054-y

Abstract

This paper presents some algorithms in linear algebraic groups. These algorithms solve the word problem and compute the spinor norm for orthogonal groups. This gives us an algorithmic definition of the spinor norm. We compute the double coset decomposition with respect to a Siegel maximal parabolic subgroup, which is important in computing infinite-dimensional representations for some algebraic groups.

arXiv admin note: text overlap with arXiv:1901.00892, arXiv:1504.03794

Algorithms in Linear Algebraic Groups · wovepaper