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Algorithms in Linear Algebraic Groups
March 12, 2020 Β· Declared Dead Β· π Advances in Applied Clifford Algebras
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Authors
Sushil Bhunia, Ayan Mahalanobis, Pralhad Shinde, Anupam Singh
arXiv ID
2003.06292
Category
math.GR
Cross-listed
cs.DS
Citations
1
Venue
Advances in Applied Clifford Algebras
Last Checked
3 months ago
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.
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