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math-ph2024★ 4 cited
On SVD and Polar Decomposition in Real and Complexified Clifford Algebras
D. S. Shirokov
In this paper, we present a natural implementation of singular value decomposition (SVD) and polar decomposition of an arbitrary multivector in nondegenerate real and complexified…
math.RA2024★ 4 cited
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…