Octonion; Clifford algebra; graded-commutative and graded-associative
Abstract :
[en] A series of algebras, namely $O_p,q$, generalizing the algebra of the octonion numbers as the Clifford algebras generalizing the algebra of Quaternions numbers was introduced by Ovsienko and Morier-Genoud. We present a classification of these algebras (up to graded-isomorphism) and give a periodicity similar to the ones on the Clifford algebras.
Disciplines :
Mathematics
Author, co-author :
Kreusch, Marie ; Université de Liège > Département de mathématique > Géométrie et théorie des algorithmes
Language :
English
Title :
Algebras generalizing the Octonions
Alternative titles :
[fr] Algèbres généralisant les Octonions
Publication date :
29 August 2014
Number of pages :
A1
Event name :
Topical Workshop "Integrability and Cluster Algebras: Geometry and Combinatorics"
