Cycle indices for finite orthogonal groups of even characteristic

Jason Fulman; Jan Saxl; Pham Huu Tiep

doi:10.1090/S0002-9947-2012-05406-7

Cycle indices for finite orthogonal groups of even characteristic

Jason Fulman, Jan Saxl, Pham Huu Tiep

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

7 Scopus citations

Abstract

Dedicated to Peter M. Neumann on the occasion of his seventieth birthday We develop cycle index generating functions for orthogonal groups in even characteristic and give some enumerative applications. A key step is the determination of the values of the complex linear-Weil characters of the finite symplectic group, and their induction to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.

Original language	English (US)
Pages (from-to)	2539-2566
Number of pages	28
Journal	Transactions of the American Mathematical Society
Volume	364
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-2012-05406-7
State	Published - 2012
Externally published	Yes

Keywords

Cycle index
Random matrix
Random partition
Weil representation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-2012-05406-7

Cite this

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abstract = "Dedicated to Peter M. Neumann on the occasion of his seventieth birthday We develop cycle index generating functions for orthogonal groups in even characteristic and give some enumerative applications. A key step is the determination of the values of the complex linear-Weil characters of the finite symplectic group, and their induction to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.",

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AU - Saxl, Jan

AU - Tiep, Pham Huu

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AB - Dedicated to Peter M. Neumann on the occasion of his seventieth birthday We develop cycle index generating functions for orthogonal groups in even characteristic and give some enumerative applications. A key step is the determination of the values of the complex linear-Weil characters of the finite symplectic group, and their induction to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.

KW - Cycle index

KW - Random matrix

KW - Random partition

KW - Weil representation

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ER -

Cycle indices for finite orthogonal groups of even characteristic

Abstract

Keywords

ASJC Scopus subject areas

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