On Suslin Matrices and their connection to Spin groups
Rings and Algebras
2020-12-17 v2 K-Theory and Homology
Representation Theory
Abstract
A concrete representation of the Clifford algebra (for any hyperbolic quadratic space) is given using what are called Suslin matrices. This explicit construction is used to analyze the corresponding Spin groups and the involution and might be of interest in low dimensional computations. Conversely, this connection to Clifford algebras gives a conceptual foundation to some (seemingly accidental) properties of Suslin matrices.
Cite
@article{arxiv.2009.12107,
title = {On Suslin Matrices and their connection to Spin groups},
author = {Vineeth Chintala},
journal= {arXiv preprint arXiv:2009.12107},
year = {2020}
}
Comments
2015 paper, improved presentation, 20 pages