Cross characteristic representations of even characteristic symplectic groups

Robert M. Guralnick; Pham Huu Tiep

doi:10.1090/S0002-9947-04-03477-4

Cross characteristic representations of even characteristic symplectic groups

Robert M. Guralnick, Pham Huu Tiep

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

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 language	English (US)
Pages (from-to)	4969-5023
Number of pages	55
Journal	Transactions of the American Mathematical Society
Volume	356
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9947-04-03477-4
State	Published - Dec 2004
Externally published	Yes

Keywords

Cross characteristic representation
Finite symplectic group
Low dimensional representation
Weil representation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-04-03477-4

Cite this

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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",

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AU - Guralnick, Robert M.

AU - Tiep, Pham Huu

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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

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Cross characteristic representations of even characteristic symplectic groups

Abstract

Keywords

ASJC Scopus subject areas

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