Video File:

Abstract:

We define a new class of diagram algebras MP_λ(n) indexed
by integer partitions λ. When λ is a partition of k, MP_λ(n) is isomorphic
to a subalgebra of the partition algebra P_k(n) defined by Jones and
Martin. When λ = (1^k), MP_λ(n) is isomorphic to P_k(n). A basis of
MP_λ(n) is given in terms of certain bipartite multigraphs. We exhibit
a new Schur-Weyl duality between the actions of MP_λ(n) and the symmetric
group S_n on the symmetric power Sym^λ(C^n). This is joint work with Sridhar
Narayanan and Shraddha Srivastava.

Subject:

Category:

Lecture Series / Conference / Course :

Start Time:

14:00

End Time:

15:00

Date:

Monday, June 17, 2019

Remarks:

Will need to be edited into an 8 minute video to be presented at a conference. Video should be edited and uploaded by 18th June 2019

Short Title:

The multiset partition algebra