Results 31 to 40 of about 75,652 (194)

On Cohomology of Simple Modules for Modular Classical Lie Algebras

Axioms, 2022
In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev, Larissa S. Kainbaeva, Saulesh K. Menlikozhaeva   +2 more
doaj   +1 more source

Cohomology of Coxeter groups

Topology and its Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Continuous cohomology of topological quandles

, 2018
A continuous cohomology theory for topological quandles is introduced, and compared to the algebraic theories. Extensions of topological quandles are studied with respect to continuous 2-cocycles, and used to show the differences in second cohomology ...
Elhamdadi, Mohamed, Saito, Masahico, Zappala, Emanuele   +2 more
core   +1 more source

Cohomology theories on locally conformal symplectic manifolds

, 2013
In this note we introduce primitive cohomology groups of locally conformal symplectic manifolds $(M^{2n}, \omega, \theta)$. We study the relation between the primitive cohomology groups and the Lichnerowicz-Novikov cohomology groups of $(M^{2n}, \omega, \
Lê, Hông Vân, Vanžura, Jiři
core   +1 more source

Group Cohomology and L^p-Cohomology of Finitely Generated Groups [PDF]

Canadian Mathematical Bulletin, 2003
AbstractLet G be a finitely generated, infinite group, let p > 1, and let Lp(G) denote the Banach space . In this paper we will study the first cohomology group of G with coefficients in Lp(G), and the first reduced Lp-cohomology space of G. Most of our results will be for a class of groups that contains all finitely generated, infinite nilpotent ...
openaire   +2 more sources

DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS

Forum of Mathematics, Pi, 2019
We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
doaj   +1 more source

Continuity properties of measurable group cohomology

, 2012
A version of group cohomology for locally compact groups and Polish modules has previously been developed using a bar resolution restricted to measurable cochains.
A Hatcher, A Onishchik, A Weil, Calvin C. Moore, CC Moore, CC Moore, CC Moore, D Montgomery, D Wigner, E Michael, E Michael, G Hochschild, G Hochschild, G Willis, GEF Thomas, GW Mackey, J-L Tu, KH Hofmann, M Flach, N Yoneda, Tim Austin, W Est van, W Rudin, Y Benyamini, Y Cornulier de   +24 more
core   +1 more source

Globalization of partial cohomology of groups [PDF]

, 2020
We study the relations between partial and global group cohomology with values in a commutative unital ring $\mathcal{A}$. In particular, for a unital partial action of a group $G$ on $\mathcal{A}$, such that $\mathcal{A}$ is a direct product of ...
Dokuchaev, Mikhailo, Khrypchenko, Mykola, Simón, Juan Jacobo   +2 more
core   +1 more source

Algebraic cohomology of topological groups [PDF]

Transactions of the American Mathematical Society, 1970
A general cohomology theory for topological groups is described, and shown to coincide with the theories of C. C. Moore [12] and other authors. We also recover some invariants from algebraic topology.
openaire   +4 more sources

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source