145 citations · 907 across the 49 of their papers we have counts for
51 papers
Clifford algebras, meson algebras and higher order generalisations
Michel Dubois-Violette, Blas Torrecillas
We analyse the homogeneous parts of Clifford and meson algebras and point out that for the Clifford algebra it is related to fermionic statistics, that is, to fermionic parastatist…
Quadratic algebras associated with exterior 3-forms
Michel Dubois-Violette, Blas Torrecillas
This paper is devoted to the study of the quadratic algebras with relations generated by superpotentials which are exterior 3-forms. Such an algebra is regular if and only if it is…
Superconnection in the spin factor approach to particle physics
Michel Dubois-Violette, Ivan Todorov
The notion of superconnection devised by Quillen in 1985 and used in gauge-Higgs field theory in the 1990's is applied to the spin factors (finite-dimensional euclidean Jordan alge…
Quadratic differential algebras generated by Euclidean spaces
Michel Dubois-Violette, Giovanni Landi
We define a class of quadratic differential algebras which are generated as differential graded algebras by the elements of an Euclidean space. Such a differential algebra is a dif…
Exceptional quantum geometry and particle physics II
Michel Dubois-Violette, Ivan Todorov
We continue the study undertaken in [13] of the relevance of the exceptional Jordan algebra of hermitian octonionic matrices for the description of the internal…
Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
Ivan Todorov, Michel Dubois-Violette
We continue the study undertaken in \cite{DV} of the exceptional Jordan algebra as (part of) the finite-dimensional quantum algebra in an almost classical space-time ap…