Representations of finite special linear groups in non-defining characteristic

Alexander S. Kleshchev, Pham Huu Tiep

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).

Original languageEnglish (US)
Pages (from-to)478-504
Number of pages27
JournalAdvances in Mathematics
Volume220
Issue number2
DOIs
StatePublished - Jan 30 2009
Externally publishedYes

Fingerprint

Special Linear Group
Irreducible Module
Classify
Matrix Decomposition
Irreducible Character
Modulo
Restriction

Keywords

  • Finite special linear group
  • Group theory
  • Modular representation theory

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Representations of finite special linear groups in non-defining characteristic. / Kleshchev, Alexander S.; Tiep, Pham Huu.

In: Advances in Mathematics, Vol. 220, No. 2, 30.01.2009, p. 478-504.

Research output: Contribution to journalArticle

@article{a2d01a0ff5ce4e9aad9e7267d7b4b7fa,
title = "Representations of finite special linear groups in non-defining characteristic",
abstract = "We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).",
keywords = "Finite special linear group, Group theory, Modular representation theory",
author = "Kleshchev, {Alexander S.} and Tiep, {Pham Huu}",
year = "2009",
month = "1",
day = "30",
doi = "10.1016/j.aim.2008.09.011",
language = "English (US)",
volume = "220",
pages = "478--504",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - Representations of finite special linear groups in non-defining characteristic

AU - Kleshchev, Alexander S.

AU - Tiep, Pham Huu

PY - 2009/1/30

Y1 - 2009/1/30

N2 - We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).

AB - We classify irreducible modules over the finite special linear group SLn (q) in the non-defining characteristic ℓ, describe restrictions of irreducible modules from GLn (q) to SLn (q), classify complex irreducible characters of SLn (q) irreducible modulo l, and discuss unitriangularity of the l-decomposition matrix for SLn (q).

KW - Finite special linear group

KW - Group theory

KW - Modular representation theory

UR - http://www.scopus.com/inward/record.url?scp=55749114208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=55749114208&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2008.09.011

DO - 10.1016/j.aim.2008.09.011

M3 - Article

AN - SCOPUS:55749114208

VL - 220

SP - 478

EP - 504

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 2

ER -