Results 141 to 150 of about 12,500,002 (282)

Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

Mathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj   +1 more source

Čech border homology and cohomology groups and some applications [PDF]

arXiv, 2017
In the paper the \v{C}ech border homology and cohomology groups of closed pairs of normal spaces are constructed and investigated. These groups give intrinsic characterizations of \v{C}ech homology and cohomology groups based on finite open coverings, homological and cohomological coefficients of cyclicity, small and large cohomological dimensions of ...
arxiv  

Norm-controlled cohomology of transformation groups [PDF]

arXiv, 2020
We generalize the result of Brandenbursky and Marcinkowski for the bounded cohomology of transformation groups to infinite volume case. To state the result, we introduce the notion of norm controlled cohomology as a generalization of bounded cohomology. This cohomology theory also provides a framework for relative quasimorphisms.
arxiv  

Cohomology of Lie $2$-groups

L’Enseignement Mathématique, 2009
We study the cohomology of (strict) Lie 2-groups. We obtain an explicit Bott–Shulman type map in the case of a Lie 2-group corresponding to the crossed module A \to 1 . The cohomology of the Lie 2-groups corresponding to the universal crossed modules G\to ...
Grégory Ginot, Ping Xu
openaire   +3 more sources

Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds

Complex Manifolds, 2016
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
doaj   +1 more source

Generalizations of quasielliptic curves [PDF]

Épijournal de Géométrie Algébrique
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
doaj   +1 more source

Cohomology and extensions of ordered groupoids [PDF]

arXiv, 2017
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomology from an extension of ordered groupoids, and show that this sequence leads to a classification of extensions by a second cohomology group.
arxiv  

Simple algebras and cohomology groups of arbitrary fields [PDF]

, 1959
S. A. Amitsur
openalex   +1 more source

Semiinfinite Cohomology of Quantum Groups [PDF]

Communications in Mathematical Physics, 1997
In this paper we develop a new homology theory of associative algebras called semiinfinite cohomology in a derived category setting. We show that in the case of small quantum groups the zeroth semiinfinite cohomology of the trivial module is closely related to the conformal blocks' spaces.
openaire   +4 more sources

Groupoid cohomology and extensions [PDF]

arXiv, 2004
We show that Haefliger's cohomology for etale groupoids, Moore's cohomology for locally compact groups and the Brauer group of a locally compact groupoid are all particular cases of sheaf (or Cech) cohomology for topological simplicial spaces.
arxiv