Irreducible characters of Sylow p-subgroups of D_4(p^k)

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• Tung Le, University of Aberdeen
• Thursday 04 February 2010, 16:00-17:00
• Watson Building, Lecture Room A.

If you have a question about this talk, please contact Simon Goodwin.

Let U(q) be a Sylow p-subgroup of a Chevalley group D₄(q), where q is a power of a prime p. We describe a construction of all complex irreducible characters of U(q) and obtain a classification of these irreducible characters via the root subgroups which are contained in the center of these characters. Furthermore, we show that the multiplicities of the degrees of these irreducible characters are given by polynomials in _q_−1 with nonnegative coefficients.

This talk is part of the Algebra Seminar series.

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• Algebra Seminar
• School of Mathematics Events
• Watson Building, Lecture Room A

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