Cycle indices for finite orthogonal groups of even characteristic

Details Cycle indices for finite orthogonal groups of even characteristic Cycle indices for finite orthogonal groups of even characteristic

2010-04-15

arxiv.org/abs/1004.2678v1

Mathematics

Representation Theory

30 pages

Scientific paper

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 inductions to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.

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