Zobrazeno 1 - 10
of 866
pro vyhledávání: '"20C33"'
Autor:
Malle, Gunter, Fry, A. A. Schaeffer
The Eaton--Moret\'o conjecture extends the recently-proven Brauer height zero conjecture to blocks with non-abelian defect group, positing equality between the minimal positive heights of a block of a finite group and its defect group. Here we provid
Externí odkaz:
http://arxiv.org/abs/2410.22745
Autor:
Cabanes, Marc, Späth, Britta
McKay's conjecture (1971) on character degrees was reduced by Isaacs-Malle-Navarro (2007) to a so-called inductive condition on characters of finite quasisimple groups [IMN07], thus opening the way to a proof of McKay's conjecture using the classific
Externí odkaz:
http://arxiv.org/abs/2410.20392
Autor:
Shi, Fang
In this paper, we calculate the periods of Deligne-Lusztig characters $R_{T,\chi}^G$ associated to $X^F$, where $X=G/H$ for a connected spherical subgroup $H$ of $G$.
Comment: 32 pages; comments welcome
Comment: 32 pages; comments welcome
Externí odkaz:
http://arxiv.org/abs/2409.16853
For a fixed prime power $q$, let $\text{GL}_\bullet(q)$ denote the family of groups $\text{GL}_N(q)$ for $N \in \mathbb{Z}_{\geq 0}$. In this paper we study the $\mathbb{C}$-algebra of "stable" class functions of $\text{GL}_\bullet(q)$, and show it a
Externí odkaz:
http://arxiv.org/abs/2409.16571
Autor:
Yang, Lei
We construct a geometric realization of representations for $\text{PSL}(2, \mathbb{F}_p)$ by the defining ideals of rational models $\mathcal{L}(X(p))$ of modular curves $X(p)$ over $\mathbb{Q}$. Hence, for the irreducible representations of $\text{P
Externí odkaz:
http://arxiv.org/abs/2409.02589
Autor:
Zelingher, Elad
We establish a relation between Speh representations of $\mathrm{GL}_n\left(\mathbb{F}_q\right)$ and Speh representations of $\mathrm{GL}_n\left(F\right)$, where $F$ is a non-archimedean local field. We use irreducible level zero supercuspidal repres
Externí odkaz:
http://arxiv.org/abs/2408.01856
Autor:
Muller, Joseph
The supersingular locus of the $\mathrm{GU}(1,n-1)$ Shimura variety at a ramified prime $p$ is stratified by Coxeter varieties attached to finite symplectic groups. In this paper, we compute the $\ell$-adic cohomology of the Zariski closure of any su
Externí odkaz:
http://arxiv.org/abs/2407.14012
Let $\Gamma$ be a cocompact, oriented Fuchsian group which is not on an explicit finite list of possible exceptions and $q$ a sufficiently large prime power not divisible by the order of any non-trivial torsion element of $\Gamma$. Then $|\mathrm{Hom
Externí odkaz:
http://arxiv.org/abs/2407.07193
Autor:
Cohen, Jonathan
We compute the Bessel models of irreducible representations of the finite group $GSp(4, q)$.
Externí odkaz:
http://arxiv.org/abs/2406.19203
Autor:
Lin, Yen-Chi Roger, Pan, Shu-Yen
We establish a recursive relation for the bipartition number $p_2(n)$ which might be regarded as an analogue of Euler's recursive relation for the partition number $p(n)$. Two proofs of the main result are proved in this article. The first one is usi
Externí odkaz:
http://arxiv.org/abs/2406.14851