9 citations · 22 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
A Note on Centralizers and Twisted Centralizers in Clifford Algebras
E. R. Filimoshina, D. S. Shirokov
This paper investigates centralizers and twisted centralizers in degenerate and non-degenerate Clifford (geometric) algebras. We provide an explicit form of the centralizers and tw…
On Some Lie Groups in Degenerate Clifford Geometric Algebras
E. R. Filimoshina, D. S. Shirokov
In this paper, we introduce and study five families of Lie groups in degenerate Clifford geometric algebras. These Lie groups preserve the even and odd subspaces and some other sub…