Results 121 to 130 of about 6,349 (237)

Abelian Extensions of Modified λ-Differential Left-Symmetric Algebras and Crossed Modules

Axioms
In this paper, we define a cohomology theory of a modified λ-differential left-symmetric algebra. Moreover, we introduce the notion of modified λ-differential left-symmetric 2-algebras, which is the categorization of a modified λ-differential left ...
Fuyang Zhu, Taijie You, Wen Teng
doaj   +1 more source

Group Cohomology and Extensions [PDF]

, 2019
The goal of this thesis is to classify all extensions where the kernel has order p^s and the cokernel has order p^t, p is a prime, and 1 ≤ s,t ≤ 2. We determine (up to weak congruence) the different combinations of kernel, cokernel and operators, and for
Breivik, Markus Nordvoll
core  

The homotopy type of toric arrangements [PDF]

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
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Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. [PDF]

, 2013
Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2.
Mazza, Nadia, Thévenaz, Jacques, Carlson, Jon   +2 more
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Topological group cohomology with loop contractible coefficients

, 2012
We show that for topological groups and loop contractible coefficients the cohomology groups of continuous group cochains and of group cochains that are continuous on some identity neighbourhood are isomorphic.
Fuchssteiner, Martin, Wockel, Christoph
core   +1 more source

From Gauge Anomalies to Gerbes and Gerbal Representations: Group Cocycles in Quantum Theory

Acta Polytechnica, 2010
In this paper I shall discuss the role of group cohomology in quantum mechanics and quantum field theory. First, I recall how cocycles of degree 1 and 2 appear naturally in the context of gauge anomalies.
J. Mickelsson
doaj  

On Hochschild cohomology ring and integral cohomology ring for the semidihedral group

, 2018
We will determine the ring structure of the Hochschild cohomology [Formula: see text] of the integral group ring of the semidihedral group [Formula: see text] of order [Formula: see text] for arbitrary integer [Formula: see text] by giving the precise ...
Takao Hayami
core   +1 more source

Group Cohomology and Quantum Fields [PDF]

, 1981
In this thesis it is shown how the 1-Cohomology of groups can be used to classify certain representations of the Canonical Commutation Relations. First, the algebra of the Canonical Commutation Relations is described in the framework of C*algebras ...
Basarab-Horwath, Peter
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Calculating Group Cohomology: Tests for Completion

, 2001
We want to calculate generators and relations for the mod- p cohomology rings of finite groups using computer technology. For this purpose we develop interactive tests to check whether a specific calculation is complete, in the case that the group is a p
Carlson, Jon F.
core   +1 more source

Computation of A∞ algebras in group cohomology [PDF]

, 2008
The applicability of A1-structures, as introduced by Stasheff (1963) in the setting of algebra, or more specifically in representation theory has gradually grown.
Vejdemo-Johansson, Mikael
core