Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Ablamowicz, Rafal"'
Autor:
Ablamowicz, Rafal
Albuquerque and Majid have shown how to view Clifford algebras $\cl_{p,q}$ as twisted group rings whereas Chernov has observed that Clifford algebras can be viewed as images of group algebras of certain 2-groups modulo an ideal generated by a nontriv
Externí odkaz:
http://arxiv.org/abs/1610.03583
Autor:
Ablamowicz, Rafal
In this paper, theory and construction of spinor representations of real Clifford algebras $\cl_{p,q}$ in minimal left ideals are reviewed. Connection with a general theory of semisimple rings is shown. The actual computations can be found in, for ex
Externí odkaz:
http://arxiv.org/abs/1610.02418
Publikováno v:
J. Math. Phys. 55 (2014) 103501
Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear covariants are expressed in terms of algebraic spinor fields, the duali
Externí odkaz:
http://arxiv.org/abs/1409.4550
Autor:
Ablamowicz, Rafal, Fauser, Bertfried
We present different methods for symbolic computer algebra computations in higher dimensional (\ge9) Clifford algebras using the \Clifford\ and \Bigebra\ packages for \Maple(R). This is achieved using graded tensor decompositions, periodicity theorem
Externí odkaz:
http://arxiv.org/abs/1206.3683
Autor:
Ablamowicz, Rafal, Fauser, Bertfried
We present, as a proof of concept, a way to parallelize the Clifford product in CL_{p,q} for a diagonalized quadratic form as a new procedure `cmulWpar' in the \Clifford package for \Maple(R). The procedure uses a new `Threads' module available under
Externí odkaz:
http://arxiv.org/abs/1206.3682
It is well known that Clifford (geometric) algebra offers a geometric interpretation for square roots of -1 in the form of blades that square to minus 1. This extends to a geometric interpretation of quaternions as the side face bivectors of a unit c
Externí odkaz:
http://arxiv.org/abs/1204.4576
Autor:
Ablamowicz, Rafal, Fauser, Bertfried
We introduce on the abstract level in real Clifford algebras \cl_{p,q} of a non-degenerate quadratic space (V,Q), where Q has signature \epsilon=(p,q), a transposition anti-involution \tp. In a spinor representation, the anti-involution \tp gives tra
Externí odkaz:
http://arxiv.org/abs/1112.3047
Autor:
Ablamowicz, Rafal, Fauser, Bertfried
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 [arXiv.1005.3558v1] we showed that, depending on the value of (p-q) mo
Externí odkaz:
http://arxiv.org/abs/1102.3304
Autor:
Ablamowicz, Rafal, Fauser, Bertfried
Publikováno v:
Linear and Multilinear Algebra, 59(12), 2011, 1359-1381
In the first article of this work [... I: The transposition map] we showed that real Clifford algebras CL(V,Q) posses a unique transposition anti-involution \tp. There it was shown that the map reduces to reversion (resp. conjugation) for any Euclide
Externí odkaz:
http://arxiv.org/abs/1005.3558
Autor:
Ablamowicz, Rafal, Fauser, Bertfried
Publikováno v:
Linear and Multilinear Algebra, 59(12), 2011, 1331-1358
A particular orthogonal map on a finite dimensional real quadratic vector space (V,Q) with a non-degenerate quadratic form Q of any signature (p,q) is considered. It can be viewed as a correlation of the vector space that leads to a dual Clifford alg
Externí odkaz:
http://arxiv.org/abs/1005.3554