Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Alexandre Zalesski"'
Autor:
Alexandre Zalesski
Publikováno v:
Communications in Algebra. 50:1697-1719
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c5459a4803d7a425ae2cd5531406554
https://doi.org/10.1080/00927872.2021.1987449
https://doi.org/10.1080/00927872.2021.1987449
Publikováno v:
Journal of Group Theory. 23:235-285
This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one element is represented by an a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::821843268b1390d1b58ac4eac7010001
https://doi.org/10.1515/jgth-2018-0162
https://doi.org/10.1515/jgth-2018-0162
Autor:
Alexandre Zalesski, Gunter Malle
Publikováno v:
Journal of Group Theory. 23:25-78
Let $G$ be a finite group and, for a prime $p$, let $S$ be a Sylow $p$-subgroup of $G$. A character $\chi$ of $G$ is called $\Syl_p$-regular if the restriction of $\chi$ to $S$ is the character of the regular representation of $S$. If, in addition, $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a361a0a27e5d749604d59826b05cd9c
https://doi.org/10.1515/jgth-2019-0024
https://doi.org/10.1515/jgth-2019-0024
Autor:
Alexandre Zalesski, Johannes Siemons
Let $S_n$ and $A_{n}$ denote the symmetric and alternating group on the set $\{1,.., n\},$ respectively. In this paper we are interested in the second largest eigenvalue $\lambda_{2}(\Gamma)$ of the Cayley graph $\Gamma=Cay(G,H)$ over $G=S_{n}$ or $A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e27df27b2720aed42a59859a3a0428da
http://arxiv.org/abs/2012.12460
http://arxiv.org/abs/2012.12460
Autor:
John Cullinan, Alexandre Zalesski
Let G be a subgroup of GL(V), where V is a finite dimensional vector space over a finite field of characteristic p >0. If det(g-1) = 0 for all g \in G then we call G a fixed-point subgroup of GL(V). Motivated in parallel by questions in arithmetic an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d19a8b077bdfed415d66ada1cf785333
http://arxiv.org/abs/2011.04390
http://arxiv.org/abs/2011.04390
Autor:
Alexandre Zalesski
Publikováno v:
Journal of Algebra. 500:517-541
We study the decomposition of certain reducible characters of classical groups as the sum of irreducible ones. Let G be an algebraic group of classical type with defining characteristic p > 0 , μ a dominant weight and W the Weyl group of G. Let G =
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2acdb3b9306d38f72847d923e58256ac
https://doi.org/10.1016/j.jalgebra.2017.06.003
https://doi.org/10.1016/j.jalgebra.2017.06.003
Autor:
Alexandre Zalesski
Publikováno v:
Archiv der Mathematik. 110:433-446
We determine the irreducible 2-modular representations of the group $$G=GL_{n+1}(2)$$ in which a Singer cycle has eigenvalue 1, and show that in these representations every element $$g\in G$$ has eigenvalue 1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::139b079502720544bba9b859d9444f5c
https://doi.org/10.1007/s00013-018-1153-5
https://doi.org/10.1007/s00013-018-1153-5
Autor:
Alexandre Zalesski, A.A. Baranov
Publikováno v:
Journal of Pure and Applied Algebra. 225:106768
Let G be a simple algebraic group in defining characteristic p > 0 , and let V be an irreducible G-module which is the tensor product of exactly two non-trivial modules. We obtain a criterion for V to have the zero weight. In addition, we provide a u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e07a6ed72727bf25481aae3458fea2ec
https://doi.org/10.1016/j.jpaa.2021.106768
https://doi.org/10.1016/j.jpaa.2021.106768
Autor:
Donna Testerman, Alexandre Zalesski
Publikováno v:
Journal of Group Theory. 21:1-20
Let G be a simply connected simple linear algebraic group of exceptional Lie type over an algebraically closed field F of characteristic p ≥ 0 {p\geq 0} , and let u ∈ G {u\in G} be a nonidentity unipotent element. Let ϕ be a non-trivial irreduci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec30b4c4ee81f0c20a46b78e349e01e0
https://doi.org/10.1515/jgth-2017-0019
https://doi.org/10.1515/jgth-2017-0019
The paper is concerned with the character theory of finite groups of Lie type. The irreducible characters of a group $G$ of Lie type are partitioned in Lusztig series. We provide a simple formula for an upper bound of the maximal size of a Lusztig se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::999bd3eae966c24579eb9e212cd7a197
http://arxiv.org/abs/1906.11294
http://arxiv.org/abs/1906.11294