Cross characteristic representations of even characteristic symplectic groups

Robert M. Guralnick, Pham Huu Tiep

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We classify the small irreducible representations of Sp 2n (q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.

Original languageEnglish (US)
Pages (from-to)4969-5023
Number of pages55
JournalTransactions of the American Mathematical Society
Volume356
Issue number12
DOIs
StatePublished - Dec 2004
Externally publishedYes

Fingerprint

Symplectic Group
Odd
Irreducible Representation
Classify

Keywords

  • Cross characteristic representation
  • Finite symplectic group
  • Low dimensional representation
  • Weil representation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Cross characteristic representations of even characteristic symplectic groups. / Guralnick, Robert M.; Tiep, Pham Huu.

In: Transactions of the American Mathematical Society, Vol. 356, No. 12, 12.2004, p. 4969-5023.

Research output: Contribution to journalArticle

@article{1580e4e0e79340d3a47291eba0678f09,
title = "Cross characteristic representations of even characteristic symplectic groups",
abstract = "We classify the small irreducible representations of Sp 2n (q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.",
keywords = "Cross characteristic representation, Finite symplectic group, Low dimensional representation, Weil representation",
author = "Guralnick, {Robert M.} and Tiep, {Pham Huu}",
year = "2004",
month = "12",
doi = "10.1090/S0002-9947-04-03477-4",
language = "English (US)",
volume = "356",
pages = "4969--5023",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "12",

}

TY - JOUR

T1 - Cross characteristic representations of even characteristic symplectic groups

AU - Guralnick, Robert M.

AU - Tiep, Pham Huu

PY - 2004/12

Y1 - 2004/12

N2 - We classify the small irreducible representations of Sp 2n (q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.

AB - We classify the small irreducible representations of Sp 2n (q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.

KW - Cross characteristic representation

KW - Finite symplectic group

KW - Low dimensional representation

KW - Weil representation

UR - http://www.scopus.com/inward/record.url?scp=10044282732&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10044282732&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-04-03477-4

DO - 10.1090/S0002-9947-04-03477-4

M3 - Article

VL - 356

SP - 4969

EP - 5023

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 12

ER -