Results 141 to 150 of about 40,860 (242)

Cohomology of Lie triple systems and Lie algebras with involution [PDF]

, 1961
Bruno Harris
openalex   +2 more sources

Cohomology of Group Extensions [PDF]

, 1953
G. Hochschild, J-P. Serre
openalex   +1 more source

A cohomological bundle theory for sheaf cohomology

Homology, Homotopy and Applications
We develop a bundle theory of presheaves on small categories, based on similar work by Brent Everitt and Paul Turner. For a certain set of presheaves on posets, we produce a Leray-Serre type spectral sequence that gives a reduction property for the cohomology of the presheaf.
openaire   +2 more sources

Cohomology of biquotients

Manuscripta Mathematica, 1992
Biquotients are non-homogeneous quotient spaces of Lie groups. Using the Serre spectral sequence and the method of Borel, we compute the cohomology algebra of these spaces in cases where the Lie group cohomology is not too complicated. Among these are the biquotients which are known to carry a metric of positive curvature.
openaire   +3 more sources

On the Hochschild cohomology theory of A∞-algebra

Scientific African, 2019
We will study the simplicial (co)homology for Hochschild complex for A∞–algebra with homotopical properties. The relations which relate a simplicial cohomology of commutative A∞-algebra and the set twisted cochain D(A, A), of this complex holds and ...
Alaa Hassan Noreldeen
doaj  

Concerning the cohomology ring of a sphere bundle [PDF]

, 1959
Donald Malm
openalex   +1 more source

The suspension of the generalized Pontrjagin cohomology operations [PDF]

, 1959
Paul A. Thomas
openalex   +1 more source

The triviality of dihedral cohomology for operator algebras

Scientific African
This article delves into algebraic topology, specifically (co)homology theory, which is essential in various mathematical fields. It explores different types of (co)homology groups such as Hochschild, cyclic, reflexive, and dihedral, focusing on dihedral
Samar A.A. Quota, A.H. Noreldeen, O.H. Fathy, W.M. Mahmoud   +3 more
doaj  

On the three-dimensional cohomology group of Lie algebras. [PDF]

, 1953
Mitsuya Mori
openalex   +1 more source

Cohomologies and deformations of differential algebra morphisms [PDF]

arXiv
This paper studies the formal deformations of differential algebra morphisms. As a consequence, we develop a cohomology theory of differential algebra morphisms to interpret the lower degree cohomology groups as formal deformations. Then, we prove the Cohomology Comparison Theorem of differential algebra morphisms, i.e., the cohomology of a morphism of
arxiv