Zobrazeno 1 - 10
of 1 454
pro vyhledávání: '"20J06"'
Autor:
Chirvasitu, Alexandru
Consider a proper action of $\mathbb{Z}^d$ on a smooth (perhaps non-paracompact) manifold $M$. The $p^{th}$ cohomology $H^p(\mathbb{Z}^d,\ \Gamma_{\mathrm{c}}(\mathcal{F}))$ valued in the space of compactly-supported sections of a natural sheaf $\mat
Externí odkaz:
http://arxiv.org/abs/2411.09857
Autor:
Margolis, Alexander
Inspired by group cohomology, we define several coarse topological invariants of metric spaces. We define the coarse cohomological dimension of a metric space, and demonstrate that if G is a countable group, then the coarse cohomological dimension of
Externí odkaz:
http://arxiv.org/abs/2411.04745
Autor:
Kang, Mohammad Behzad, Salch, Andrew
We calculate the cohomology of the extended Morava stabilizer group of height $n$, with trivial mod $p$ coefficients, for all heights $n$ and all primes $p>>n$. The result is an exterior algebra on $n$ generators. A brief sketch of the method: we int
Externí odkaz:
http://arxiv.org/abs/2410.24171
We construct explicit finite-dimensional orthogonal representations $\pi_N$ of $\operatorname{SL}_{N}(\mathbb{Z})$ for $N \in \{3,4\}$ all of whose invariant vectors are trivial, and such that $H^{N - 1}(\operatorname{SL}_{N}(\mathbb{Z}),\pi_N)$ is n
Externí odkaz:
http://arxiv.org/abs/2410.22310
Autor:
Zavarnitsine, Andrei V.
We find an explicit form of the inverse isomorphism from Shapiro's lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.
Externí odkaz:
http://arxiv.org/abs/2410.16885
Autor:
de França, Antonio
Let $\mathbb{F}$ be a field and $\mathsf{G}$ a group. This work is inspired in the following problem: "{\it given a division (simple) $\mathsf{G}$-graded $\mathbb{F}$-algebra, is there any other division (simple) $\mathsf{G}$-graded $\mathbb{F}$-alge
Externí odkaz:
http://arxiv.org/abs/2410.13183
Autor:
Merkurjev, Alexander, Scavia, Federico
For every finite group $H$ and every finite $H$-module $A$, we determine the subgroup of negligible classes in $H^2(H,A)$, in the sense of Serre, over fields with enough roots of unity. As a consequence, we show that for every odd prime $p$, every in
Externí odkaz:
http://arxiv.org/abs/2410.12560
Autor:
De Martino, Marcelo, Opdam, Eric
For an algebraic torus defined over a local (or global) field $F$, a celebrated result of R.P. Langlands establishes a natural homomorphism from the group of continuous cohomology classes of the Weil group, valued in the dual torus, onto the space of
Externí odkaz:
http://arxiv.org/abs/2410.06346
Autor:
Fisher, Andrew, Graves, Daniel
In this paper we study the (co)homology of Tanabe algebras, which are a family of subalgebras of the partition algebras exhibiting a Schur-Weyl duality with certain complex reflection groups. The homology of the partition algebras has been shown to b
Externí odkaz:
http://arxiv.org/abs/2410.00599
Autor:
Im, Mee Seong, Khovanov, Mikhail
The first part of the paper explains how to encode a one-cocycle and a two-cocycle on a group $G$ with values in its representation by networks of planar trivalent graphs with edges labelled by elements of $G$, elements of the representation floating
Externí odkaz:
http://arxiv.org/abs/2409.08462