IMSc Webinar

The Howe duality for the symmetric group

Rosa Orellana

Dartmouth College

Seminar link: us02web.zoom.us/j/88380037638?pwd=bjc1UHVtcmp5cnkwSjFCWWFBQVZ3Zz09
Zoom Meeting ID: 883 8003 7638; Password: Littlewood.
Sminar website: www.imsc.res.in/~amri/algcomb

Classical Howe dualities provide a representation theoretical framework for
classical invariant theory.  In the classical Howe duality,
$GL_n(\mathbb{C})$ is dual to $GL_k(\mathbb{C})$ when acting on the
polynomial ring in the variables $x_{i,j}$ where $1\leq i\leq n$ and $1\leq
j\leq k$.  In this talk,  I will introduce a multiset partition algebra,
$MP_k(n)$, as the Howe dual to the symmetric group $S_n$.