2 papers
math.RA2025
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras
E. R. Filimoshina, D. S. Shirokov
This paper introduces and studies generalized degenerate Clifford and Lipschitz groups in geometric (Clifford) algebras. These Lie groups preserve the direct sums of the subspaces…
math-ph2024
On some Lie groups containing spin group in Clifford algebra
D. S. Shirokov
In this paper we consider some Lie groups in complexified Clifford algebras. Using relations between operations of conjugation in Clifford algebras and matrix operations we prove i…