Symplectic and orthogonal RobinsonSchensted algorithms
Peter Trapa
Harvard University
May 16,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

Given any real reductive Lie group, there is a simple geometric
framework to produce a constructive bijection from (something like)
involutions in the symmetric group to (something like) standard Young
tableaux. For instance, when the Lie group is GL(n,C), the parenthetical
caveats can be removed, and one recovers the classical RobinsonSchensted
algorithm. Of course this algorithm is of combinatorial interest, but it
also turns up in many representation theoretic guises (such as the
computation of KazhdanLusztig cells for the symmetric group). The purpose
of this talk is to consider the algorithms that arise for other classical
real Lie groups, establish their basic combinatorial properties, and give
some representation theoretic applications (such as the computation of
LusztigVogan cells).

Speaker's Contact Info: ptrapa(atsign)math.harvard.edu
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