Mathematics Colloquia and Seminars
Return to Colloquia & Seminar listing
The quasi-partition algebraAlgebra & Discrete Mathematics
|Speaker: ||Zajj Daugherty, Dartmouth College|
|Location: ||1147 MSB|
|Start time: ||Mon, May 20 2013, 12:10PM|
Centralizer algebras and algebras that arise via studying
endomorphisms of tensor spaces that commute with other familiar groups or
algebras (like the general linear group). The commutator relationship
provides amazing tools for transferring representation theoretic
information back and forth, and can reveal beautiful combinatorial
structure. The well-studied partition algebra arises as a centralizer
algebra for the symmetric group acting on the k-fold tensor product of its
permutation representation. However, the permutation representation is not
generally irreducible. In this talk, I will define a new related algebra,
the quasi-partition algebra, which also arises as a centralizer algebra for
the symmetric group, but now acting on the k-fold tensor product of the
large irreducible submodule of the permutation representation.
I will give a diagrammatic description and some wonderful combinatorial
results. This work is joint with Rosa Orellana.
special day: Monday in addition to Weds this week!