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math-ph2011
On the Transposition Anti-Involution in Real Clifford Algebras III: The Automorphism Group of the Transposition Scalar Product on Spinor Spaces
Rafal Ablamowicz, Bertfried Fauser
A signature epsilon=(p,q) dependent transposition anti-involution T of real Clifford algebras Cl_{p,q} for non-degenerate quadratic forms was introduced in [arXiv.1005.3554v1]. In…
math-ph2003
Idempotents of Clifford Algebras
R. Ablamowicz, B. Fauser, K. Podlaski +1
A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is p…
math-ph2002
Clifford and Grassmann Hopf algebras via the BIGEBRA package for Maple
Rafal Ablamowicz, Bertfried Fauser
Hopf algebraic structures will replace groups and group representations as the leading paradigm in forthcoming times. K-theory, co-homology, entanglement, statistics, representatio…