Two boundary diagram algebras (e.g. graded braid groups, Hecke algebras, Brauer algebras) arise as tensor power centralizer algebras, algebras of commuting operators for a Lie group action on a tensor space, and show ties to already familiar objects. In particular, one two boundary centralizer algebra in type A is isomorphic to a graded Hecke algebra for a reflection group of type C. In this talk, I will construct this algebra, discuss its representations and their combinatorial structure, and provide its relation to type C objects.
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After the seminar we will take the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
James East jamese@maths.usyd.edu.au