Results 1 to 10 of about 48 (37)

The fields of values of characters of degree not divisible by p

open access: yesForum of Mathematics, Pi, 2021
We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields.
Gabriel Navarro, Pham Huu Tiep
doaj   +1 more source

A new characterization of the automorphism groups of Mathieu groups

open access: yesOpen Mathematics, 2021
Let cd(G){\rm{cd}}\left(G) be the set of irreducible complex character degrees of a finite group GG. ρ(G)\rho \left(G) denotes the set of primes dividing degrees in cd(G){\rm{cd}}\left(G).
Liu Xin, Chen Guiyun, Yan Yanxiong
doaj   +1 more source

E-Polynomials of Generic $\mathbf {\operatorname {\mathrm {GL}}_n\rtimes \!<\!\sigma \!>\!}~$ -Character Varieties: Branched Case

open access: yesForum of Mathematics, Sigma, 2023
For any branched double covering of compact Riemann surfaces, we consider the associated character varieties that are unitary in the global sense, which we call $\operatorname {\mathrm {GL}}_n\rtimes \!}$ -character varieties.
Cheng Shu
doaj   +1 more source

Influence of hospital size on antimicrobial resistance and advantages of restricting antimicrobial use based on cumulative antibiograms in dogs with Staphylococcus pseudintermedius infections in Japan

open access: yesVeterinary Dermatology, Volume 32, Issue 6, Page 668-e178, December 2021., 2021
Background Antimicrobial resistance in Staphylococcus pseudintermedius (SP) and the prevalence of meticillin‐resistant SP (MRSP) is increasing in dogs worldwide. Objectives To evaluate the influence of hospital size on antimicrobial resistance of SP and whether restricted use of antimicrobials based on antibiograms could reduce the identification of ...
Keita Iyori   +5 more
wiley   +1 more source

Weights in a Benson-Solomon block

open access: yesForum of Mathematics, Sigma, 2023
To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
doaj   +1 more source

SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE

open access: yesForum of Mathematics, Pi, 2020
We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE   +3 more
doaj   +1 more source

Corrigendum to ‘Endoscopy for Hecke categories, character sheaves and representations’

open access: yesForum of Mathematics, Pi, 2021
We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
George Lusztig, Zhiwei Yun
doaj   +1 more source

CHARACTER LEVELS AND CHARACTER BOUNDS

open access: yesForum of Mathematics, Pi, 2020
We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give characterizations of the level of a character in terms of its Lusztig label and in terms of its degree ...
ROBERT M. GURALNICK   +2 more
doaj   +1 more source

On CRDAHA and finite general linear and unitary groups [PDF]

open access: yes, 2014
We show a connection between Lusztig induction operators in finite general linear and unitary groups and parabolic induction in cyclotomic rational double affine Hecke algebras.
B. Srinivasan
semanticscholar   +1 more source

ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS

open access: yesForum of Mathematics, Pi, 2020
For a reductive group $G$ over a finite field, we show that the neutral block of its mixed Hecke category with a fixed monodromy under the torus action is monoidally equivalent to the mixed Hecke category of the corresponding endoscopic group $H$ with ...
GEORGE LUSZTIG, ZHIWEI YUN
doaj   +1 more source

Home - About - Disclaimer - Privacy