Results 21 to 30 of about 386 (69)

The de Rham cohomology of the Suzuki curves

, 2018
For a natural number $m$, let $\mathcal{S}_m/\mathbb{F}_2$ be the $m$th Suzuki curve. We study the mod $2$ Dieudonn\'{e} module of $\mathcal{S}_m$, which gives the equivalent information as the Ekedahl-Oort type or the structure of the $2$-torsion group ...
Malmskog, Beth, Pries, Rachel, Weir, Colin   +2 more
core   +1 more source

Inductive local-global conditions and generalised Harish-Chandra theory

Forum of Mathematics, Sigma
We study new properties of generalised Harish-Chandra theory aiming at explaining the inductive local-global conditions for finite groups of Lie type in nondefining characteristic.
Damiano Rossi
doaj   +1 more source

Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2

, 2014
The characters of irreducible finite dimensional representations of compact simple Lie group G are invariant with respect to the action of the Weyl group W(G) of G.
Lemire, Francis W., Patera, Jiri, Szajewska, Marzena   +2 more
core   +1 more source

Quasi-Random profinite groups

, 2014
We will investigate quasi-randomness for profinite groups. We will obtain bounds for the mininal degree of non-trivial representations of $\mathrm{SL}_k(\mathbb{Z}/(p^n\mathbb{Z}))$ and $\mathrm{Sp}_{2k}(\mathbb{Z}/(p^n\mathbb{Z}))$.
Bardestani, Mohammad, Mallahi-Karai, Keivan   +1 more
core   +1 more source

Moments, Exponential Sums, and Monodromy Groups

Forum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Invariant blocks under coprime actions [PDF]

, 2014
If a finite group $A$ acts coprimely as automorphisms on a finite group $G$, then the $A$-invariant Brauer $p$-blocks of $G$ are exactly those that contain $A$-invariant irreducible ...
Malle, Gunter, Navarro, Gabriel, Späth, Britta   +2 more
core  

The Elementary Divisors of the Incidence Matrix of Skew Lines in PG(3,q) [PDF]

, 2011
The elementary divisors of the incidence matrix of lines in PG(3,q) are computed, where two lines are incident if and only if they are skew.Comment: 13 pages. The results of this paper supersede those in the paper arXiv:math/1001.2551 V2.
Brouwer, Andries E., Ducey, Joshua E., Sin, Peter   +2 more
core  

Lifting representations of finite reductive groups II: Explicit conorms

, 2011
Let $k$ be a field, $\tilde{G}$ a connected reductive $k$-quasisplit group, $\Gamma$ a finite group that acts on $\tilde{G}$ via $k$-automorphisms satisfying a quasi-semisimplicity condition, and $G$ the connected part of the group of $\Gamma$-fixed ...
Adler, Jeffrey D., Lansky, Joshua M.
core  

Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences

, 2018
We give a geometric construction of the Heisenberg-Weil representation of a finite unitary group by the middle \'{e}tale cohomology of an algebraic variety over a finite field, whose rational points give a unitary Heisenberg group. Using also a Frobenius
Imai, Naoki, Tsushima, Takahiro
core  

Suspected Transverse Myelitis with Normal MRI and CSF Findings in a Patient with Lupus: What to Do? A Case Series and Systematic Review. [PDF]

Neuropsychiatr Dis Treat, 2020
Monahan RC, Beaart HJL, Fronczek R, Terwindt GM, Beaart-van de Voorde LJJ, de Bresser J, Kloppenburg M, van der Wee NJA, Huizinga TWJ, Huizinga TWJ, Steup-Beekman GM.   +10 more
europepmc   +1 more source