Zobrazeno 1 - 10
of 565
pro vyhledávání: '"Berger, Roland"'
Autor:
Berger, Roland, Solotar, Andrea
We introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an application, we prove that the graded symmetry of the Koszul cap product is a consequence of the graded commutativity of the Koszul cup product. We propose a conce
Externí odkaz:
http://arxiv.org/abs/2007.00627
Autor:
Berger, Roland, Taillefer, Rachel
We show that the Koszul calculus of a preprojective algebra, whose graph is distinct from A$\_1$ and A$\_2$, vanishes in any (co)homological degree $p>2$. Moreover, its (higher) cohomological calculus is isomorphic as a bimodule to its (higher) homol
Externí odkaz:
http://arxiv.org/abs/1905.07906
Autor:
Berger, Roland
We examine the N-Koszul calculus for the N-symmetric algebras. The case N=2 corresponds to the Elie Cartan calculus. We conjecture that, as in the case N=2, the N-Cartan calculus extends to manifolds when N>2, which would provide a new type of noncom
Externí odkaz:
http://arxiv.org/abs/1708.06318
Autor:
Berger, Roland
We define a Koszul sign map encoding the Koszul sign convention. A cohomological interpretation is given.
Comment: 8 pages, minor modifications, added references
Comment: 8 pages, minor modifications, added references
Externí odkaz:
http://arxiv.org/abs/1708.01430
Autor:
Berger, Roland
We extend the Koszul calculus defined on quadratic algebras by Berger, Lambre and Solotar, to N-homogeneous algebras. When N>2, the Koszul cup and cap products are defined by specific expressions, and they are compatible with the Koszul differentials
Externí odkaz:
http://arxiv.org/abs/1610.01035
We present a new calculus which is well-adapted to quadratic algebras. This calculus consists in Koszul (co)homology, together with Koszul cup and cap products. Some applications are given. Koszul duality for Koszul (co)homology is proved for any qua
Externí odkaz:
http://arxiv.org/abs/1512.00183