18 citations · 25 across the 2 of their papers we have counts for
5 papers · 1 filter
Homogeneous algebras, statistics and combinatorics
Michel Dubois-Violette, Todor Popov
After some generalities on homogeneous algebras, we give a formula connecting the Poincaré series of a homogeneous algebra with the homology of the corresponding Koszul complex gen…
Smooth *-algebras
Michel Dubois-Violette, Andreas Kriegl, Yoshiaki Maeda +1
Looking for the universal covering of the smooth non-commutative torus leads to a curve of associative multiplications on the space $\Cal O_M'(\Bbb R^{2n})\cong \Cal O_C(\Bbb R^{2n…
Lectures on differentials, generalized differentials and on some examples related to theoretical physics
Michel Dubois-Violette
These notes contain a survey of some aspects of the theory of differential modules and complexes as well as of their generalization, that is, the theory of -differential modules…
Lectures on graded differential algebras and noncommutative geometry
Michel Dubois-Violette
These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with…
Generalized homologies for the zero modes of the SU(2) WZNW model
Michel Dubois-Violette, Ivan T. Todorov
We generalize the BRS method for the (finite-dimensional) quantum gauge theory involved in the zero modes of the monodromy extended SU(2) WZNW model. The generalization consists of…