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Algebra Seminar

Character levels and character bounds

Pham Huu Tiep, Rutgers University

Location:  Hill 525
Date & time: Wednesday, 27 September 2017 at 2:00PM - 3:00PM

Abstract:  We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give various characterizations of the level of a character in terms of its Lusztig's label, of its degree, and of certain dual pairs. This concept is then used to prove exponential bounds for character values, provided that either the level of the character or the centralizer of the element is not too large.

This is joint work with R. M. Guralnick and M. Larsen.

 

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Department of Mathematics

Department of Mathematics
Rutgers University
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