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math.RA2023★ 8 cited
Noncommutative Vieta Theorem in Clifford Geometric Algebras
D. S. Shirokov
In this paper, we discuss a generalization of Vieta theorem (Vieta's formulas) to the case of Clifford geometric algebras. We compare the generalized Vieta's formulas with the ordi…
math.RA2023★ 8 cited
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…