Results 1 to 10 of about 88,096 (255)

Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules.
A.A. Ibrayeva   +2 more
doaj   +2 more sources

Integral cohomology of quotients via toric geometry [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points.
Grégoire Menet
doaj   +1 more source

Dieudonné theory via cohomology of classifying stacks

open access: yesForum of Mathematics, Sigma, 2021
We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
doaj   +1 more source

BD algebras and group cohomology

open access: yesComptes Rendus. Mathématique, 2021
BD algebras (Beilinson–Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin–Vilkovisky algebras). The equation defining the BD operator has the same structure as the equation for BV algebras, but the BD operator
Todea, Constantin-Cosmin
doaj   +1 more source

Isotropy in group cohomology [PDF]

open access: yesBulletin of the London Mathematical Society, 2014
The analogue of Lagrangians for symplectic forms over finite groups is studied, motivated by the fact that symplectic G-forms with a normal Lagrangian ...
Ben David, Nir   +2 more
openaire   +5 more sources

First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
‎Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of  semigroup algbera $\ell^1(S)$ with ...
Ebrahim Nasrabadi
doaj   +1 more source

ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]

open access: yesForum of Mathematics, Pi, 2020
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$. Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.
Kupers, Alexander   +1 more
openaire   +3 more sources

The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

open access: yesElectronic Research Archive, 2022
The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu   +2 more
doaj   +1 more source

On the Morse–Novikov Cohomology of blowing up complex manifolds

open access: yesComptes Rendus. Mathématique, 2020
Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
doaj   +1 more source

Oriented Algebras and the Hochschild Cohomology Group

open access: yesMathematics, 2018
Koam and Pirashivili developed the equivariant version of Hochschild cohomology by mixing the standard chain complexes computing group with associative algebra cohomologies to obtain the bicomplex C ˜ G * ( A , X ).
Ali N. A. Koam
doaj   +1 more source

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