๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Lie algebra structure of the first Hochschild cohomology group for monomial algebras

โœ Scribed by Claudia Strametz

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
87 KB
Volume
334
Category
Article
ISSN
1631-073X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Algebra Structure on the Hochschild Coho
Algebra Structure on the Hochschild Cohomology of the Ring of Invariants of a Weyl Algebra under a Finite Group
โœ Mariano Suarez Alvarez ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

group of linear automorphisms of A . In this paper, we compute the multiplicative n โ…ท ลฝ G . structure on the Hochschild cohomology HH A of the algebra of invariants of n โ…ท ลฝ G . G. We prove that, as a graded algebra, HH A is isomorphic to the graded n algebra associated to the center of the group al

Commutative algebra for cohomology rings
Commutative algebra for cohomology rings of classifying spaces of compact Lie groups
โœ D.J. Benson; J.P.C. Greenlees ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 827 KB

We apply the techniques of highly structured ring and module spectra to prove a duality theorem for the cohomology ring of the classifying space of a compact Lie group. This generalizes results of 31 and Greenlees [lo] in the case of finite groups. In particular, we prove a functional equation for t

On the Cohomology of Infinite Dimensiona
On the Cohomology of Infinite Dimensional Nilpotent Lie Algebras
โœ A. Fialowski ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

In the paper one- and two-dimensional cohomology is compared for finite and infinite nilpotent Lie algebras, with coefficients in the adjoint representation. It turns out that, because the adjoint representation is not a highest weight representation in infinite dimension, the considered cohomology