Partial isomorphisms over finite fields

被引：4
作者：
Meliot, Pierre-Loic [1 ]
机构：
[1] Univ Paris 11, Fac Sci Orsay, Lab Math, F-91405 Orsay, France
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2014年 / 40卷 / 01期
关键词：
Combinatorics over finite fields; Linear groups; Ivanov-Kerov algebra; CHARACTERS;
D O I：
10.1007/s10801-013-0480-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct a combinatorial algebra of partial isomorphisms that gives rise to a "projective limit" of the centers of the group algebras . It allows us to prove a -analogue of a theorem of Farahat and Higman regarding products of conjugacy classes of permutations.
引用
收藏
页码：83 / 136
页数：54
相关论文
共 45 条
[41]   Using double Weil sums in finding the c-boomerang connectivity table for monomial functions on finite fields [J].
Pantelimon Stănică .
Applicable Algebra in Engineering, Communication and Computing, 2023, 34 :581-602
[42]   Cuspidal representations in the cohomology of Deligne-Lusztig varieties for GL(2) over finite rings [J].
Ito, Tetsushi ;
Tsushima, Takahiro .
ISRAEL JOURNAL OF MATHEMATICS, 2018, 226 (02) :877-926
[43]   ANDRE-OORT CONJECTURE AND NONVANISHING OF CENTRAL L-VALUES OVER HILBERT CLASS FIELDS [J].
Burungale, Ashay A. ;
Hida, Haruzo .
FORUM OF MATHEMATICS SIGMA, 2016, 4
[44]   Ergodic measures on infinite skew-symmetric matrices over non-Archimedean local fields [J].
Qiu, Yanqi .
GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (04) :1401-1416
[45]   Smooth representations of unit groups of split basic algebras over non-Archimedean local fields [J].
Andre, Carlos A. M. ;
Dias, Joao .
JOURNAL OF GROUP THEORY, 2021, 24 (06) :1069-1097
12345