Results 31 to 40 of about 6,115 (235)

On the Cohomology of Topological Semigroups

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr   +1 more
doaj   +1 more source

Cohomologies of n-Lie Algebras with Derivations

open access: yesMathematics, 2021
The goal of this paper is to study cohomological theory of n-Lie algebras with derivations. We define the representation of an n-LieDer pair and consider its cohomology.
Qinxiu Sun, Zhixiang Wu
doaj   +1 more source

SettingsNote on the \(F_{0}\)-spaces

open access: yesCubo, 2023
A rationally elliptic space \(X\) is called an \(F_{0}\)-space if its rational cohomology is concentrated in even degrees. The aim of this paper is to characterize such a space in terms of the homotopy groups of its skeletons as well as the rational ...
Mahmoud Benkhalifa
doaj   +1 more source

On the Weil-étale Cohomology of S-Integers [PDF]

open access: yes, 2012
We generalize the Lichtenbaum's prototype of Weil-étale cohomology to S-integers and study its relation to the Tate sequences. In the final part, we present a more natural way to define Weil-étale cohomology for one-dimensional arithmetic schemes ...
Chiu, Yi-Chih
core   +1 more source

The cohomology of the alternating groups. [PDF]

open access: yesMichigan Mathematical Journal, 1985
Let p be an odd prime. The author investigates mod p-cohomology of the alternating group \(A_{p^ n}\). He exploits the fact that in this case the regular representation \(({\mathbb{Z}}/p)^ n\hookrightarrow S_{p^ n}\) in the symmetric group factors through the alternating group.
openaire   +3 more sources

COHOMOLOGY OF KLEINIAN GROUPS [PDF]

open access: yesProceedings of the National Academy of Sciences, 1969
Let [unk] be a (nonelementary) Kleinian group and q ≥ 2 an integer. The group [unk] acts in a natural way on the vector space II 2 q —2 of complex polynomials in one variable of degree ≤ 2 q — 2. One can thus form
openaire   +2 more sources

Nilpotence in group cohomology [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2012
AbstractWe study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture.
openaire   +3 more sources

On the regularity conjecture for the cohomology of finite groups [PDF]

open access: yes, 2008
Non peer ...
Benson, David J., David J. Benson
core   +1 more source

Generalized Bockstein maps and Massey products

open access: yesForum of Mathematics, Sigma, 2023
Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by powers of the augmentation ideal in the group algebra of H.
Yeuk Hay Joshua Lam   +4 more
doaj   +1 more source

Cyclic cohomology after the excision theorem of Cuntz and Quillen [PDF]

open access: yes, 2013
The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 ? S ? P ? Q ? 0.
Jacek Brodzki, Brodzki, Jacek
core   +1 more source

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