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math.RA2026
On Lie Groups Preserving Subspaces of Degenerate Clifford Algebras
E. R. Filimoshina, D. S. Shirokov
This paper introduces Lie groups in degenerate geometric (Clifford) algebras that preserve four fundamental subspaces determined by the grade involution and reversion under the adj…
math.RA2025
On Commutative Analogues of Clifford Algebras and Their Decompositions
Heerak Sharma, Dmitry Shirokov
We investigate commutative analogues of Clifford algebras -- algebras whose generators square to but commute, instead of anti-commuting as they do in Clifford algebras. We o…