Structure of coinvariants of affine $sl_2$ integrable modules
Rinat Kedem
University of Massachusetts, Amherst
May 5,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

We construct the space of coinvariants corresponding to the space of
all possible compositions of $N$ intertwiners of integrable
$\widehat{sl}_2$ modules with fixed level. We obtain an explicit basis
for this space, as vectors in the integrable module itself. The
construction leads to recursion relations for the characters of these
spaces, resulting from a bijection with the space of (specially
graded) Verlinde paths. The fermionic character formulas which result
from the dual space description are finite analogs of those obtained
by Feigin and Stoyanovsky. These imply some highly nontrivial
statements about the dimensionality of certain spaces of symmetric
polynomials.

Speaker's Contact Info: rinat(atsign)math.umass.edu
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