TRIVIAL SOURCE CHARACTER TABLES OF SL2(q), PART II

被引：1

作者：

Farrell, Niamh ^{[1
]}

Lassueur, Caroline ^{[2
]}

机构：

[1] Leibniz Univ Hannover, Inst Algebra Zahlentheorie & Diskrete Math, Hannover, Germany

[2] RPTU Kaiserslautern Landau, FB Math, Kaiserslautern, Germany

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2023年 / 66卷 / 03期

关键词：

special linear group; trivial source modules; p-permutation modules; species tables; character theory; block theory; Brauer correspondence; Green correspondence;

D O I：

10.1017/S0013091523000299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL2(q) for q even over a large enough field of odd characteristics. This article is a continuation of our article Trivial Source Character Tables of SL2(q), where we considered, in particular, the case in which q is odd in non-defining characteristic.

引用

页码：689 / 709

页数：21

共 50 条

[31] THE CHARACTER TABLES OF PAIGE SIMPLE MOUFANG LOOPS AND THEIR RELATIONSHIP TO THE CHARACTER TABLES OF PSL(2,Q)
BANNAI, E
SONG, SY
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1989, 58 : 209 - 236
[32] E-polynomial of SL2(C)-character varieties of free groups
Cavazos, Samuel
Lawton, Sean
INTERNATIONAL JOURNAL OF MATHEMATICS, 2014, 25 (06)
[33] A class of finite-dimensional representations of U q(sl2)
Cheng, Dong Ming
Su, Dong
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (09) : 1703 - 1712
[34] Explicit Plancherel Theorems for H(q1, q2) and SL2(F)
Kutzko, Philip
Morris, Lawrence
PURE AND APPLIED MATHEMATICS QUARTERLY, 2009, 5 (01) : 435 - 467
[35] REPRESENTATIONS OF THE TWO-FOLD CENTRAL EXTENSION OF SL2(Q2)
Loke, Hung Yean
Savin, Gordan
PACIFIC JOURNAL OF MATHEMATICS, 2010, 247 (02) : 435 - 454
[36] ASSOCIATIONS SCHEME WITH NONCONSTANT INTERSECTION NUMBERS, ASSOCIATED WITH GROUP SL2(q)
Mukhametianov, Ildar Talgatovich
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 648 - 672
[37] A look at representations of SL2(F-q) through the lens of size
Gurevich, Shamgar
Howe, Roger
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2018, 12 (02): : 252 - 277
[38] FILTRATIONS OF THE DISCRETE-SERIES OF SL2(Q) VIA CRYSTALLINE COHOMOLOGY
HAASTERT, B
JANTZEN, JC
JOURNAL OF ALGEBRA, 1990, 132 (01) : 77 - 103
[39] On modular forms for some noncongruence subgroups of SL2(Z) II
Kurth, Chris
Long, Ling
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 589 - 598
[40] Generic Galois extensions for SL2(F5) over Q
Plans, Bernat
MATHEMATICAL RESEARCH LETTERS, 2007, 14 (2-3) : 443 - 452

← 1 2 3 4 5 →