AbstractWe investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z2n by a cocycle. Our approach is more general than the usual one based on generators and relations. We obtain, in particular, the periodicity properties and a new construction of spinors in terms of left and right multiplication in the Clifford algebra
Abstract. The octonions are the largest of the four normed division algebras. While somewhat neglect...
Quaternionic representations of Coxeter (reflection) groups of ranks 3 and 4, as well as those of E_...
This paper is intended to describe twistors via the paravector model of Clifford algebras and to rel...
AbstractWe investigate the construction and properties of Clifford algebras by a similar manner as o...
This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging...
A series of algebras, namely $O_p,q$, generalizing the algebra of the octonion numbers as the Cliffo...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
One of the main goals of these notes is to explain how rotations in Rn are induced by the action of ...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
Abstract. We study non-associative twisted group algebras over (Z2)n with cubic twist-ing functions....
Abstract. We study non-associative twisted group algebras over (Z2)n with cubic twist-ing functions....
In this paper, we discuss a Clifford algebra framework for discrete symmetries -- e.g. reflection, C...
One of the main goals of these notes is to explain how rotations in Rn are induced by the action of ...
The notions of spinor and Clifford algebra are briefly reviewed in a historical perspective ; the tw...
Abstract In this short pedagogical presentation, we introduce the spin groups and the spinors from t...
Abstract. The octonions are the largest of the four normed division algebras. While somewhat neglect...
Quaternionic representations of Coxeter (reflection) groups of ranks 3 and 4, as well as those of E_...
This paper is intended to describe twistors via the paravector model of Clifford algebras and to rel...
AbstractWe investigate the construction and properties of Clifford algebras by a similar manner as o...
This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging...
A series of algebras, namely $O_p,q$, generalizing the algebra of the octonion numbers as the Cliffo...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
One of the main goals of these notes is to explain how rotations in Rn are induced by the action of ...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
Abstract. We study non-associative twisted group algebras over (Z2)n with cubic twist-ing functions....
Abstract. We study non-associative twisted group algebras over (Z2)n with cubic twist-ing functions....
In this paper, we discuss a Clifford algebra framework for discrete symmetries -- e.g. reflection, C...
One of the main goals of these notes is to explain how rotations in Rn are induced by the action of ...
The notions of spinor and Clifford algebra are briefly reviewed in a historical perspective ; the tw...
Abstract In this short pedagogical presentation, we introduce the spin groups and the spinors from t...
Abstract. The octonions are the largest of the four normed division algebras. While somewhat neglect...
Quaternionic representations of Coxeter (reflection) groups of ranks 3 and 4, as well as those of E_...
This paper is intended to describe twistors via the paravector model of Clifford algebras and to rel...
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