Orthogonal symmetries and Clifford algebras
M. G. Mahmoudi
TL;DR
This paper explores how orthogonal symmetries induce involutions in Clifford algebras, providing insights into their algebraic structure and symmetry properties.
Contribution
It introduces a detailed analysis of involutions in Clifford algebras arising from orthogonal symmetries, expanding understanding of their algebraic and geometric relationships.
Findings
Characterization of involutions induced by orthogonal symmetries
Connections between algebraic involutions and geometric symmetries
New classifications of Clifford algebra automorphisms
Abstract
Involutions of the Clifford algebra of a quadratic space induced by orthogonal symmetries are investigated.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Algebraic and Geometric Analysis