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Department of Mathematics,
University of California San Diego

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Representation Theory

Hans Wenzl

UCSD

On restriction rules from $Gl(N)$ to $O(N)$

Abstract:

We show that the Grothendieck semiring of $O(N)$ is a quotient of the one of $O(\infty)$. Using this, we can express restriction multiplicities from $GL(N)$ to $O(N)$ via an alternating sum formula over the elements of a reflection group in terms of classical multiplicites due to Littlewood.

Host:

November 16, 2004

2:00 PM

AP&M 7321

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