Results 31 to 40 of about 4,558 (244)

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

BOUNDED COHOMOLOGY AND BINATE GROUPS

Journal of the Australian Mathematical Society, 2022
AbstractA group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first nonamenable examples are the group of compactly supported homeomorphisms of$ {\mathbb {R}}^{n}$(Matsumoto–Morita) and mitotic groups (Löh).
Fournier-Facio, Francesco, Löh, Clara, Moraschini, Marco   +2 more
openaire   +6 more sources

Families of singular algebraic varieties that are rationally elliptic spaces

Mathematische Nachrichten, EarlyView.
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley   +1 more source

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

The cohomology of the symmetric groups [PDF]

Transactions of the American Mathematical Society, 1978
Let S n {{\mathcal {S}}_n} be the symmetric group on n letters and SG the limit of the sets of degree +1 homotopy equivalences of the n − 1 n - 1 sphere. Let p be an odd prime.
openaire   +1 more source

The log Grothendieck ring of varieties

Bulletin of the London Mathematical Society, EarlyView.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel   +4 more
wiley   +1 more source

On the cohomology of Coxeter groups

Journal of Pure and Applied Algebra, 2001
See the review in Zbl 0943.20038.
openaire   +3 more sources

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

Bulletin of the London Mathematical Society, EarlyView.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +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   +1 more source