Alladi Ramakrishnan Hall

A bijection; a generalization of the Durfee square construction

B. Ravinder

IMSc

It is known from the representation theory of the current algebra
$sl_{r+1}[t]$ that given a positive integer $n$, there exist a bijection
from the set of partition overlaid Gelfand-Tsetlin patterns associated to
$n$ onto the set of partitions of $n$ into $r$ colors.

In this talk, we prove this by giving an explicit bijection. Our
construction may be viewed as a generalization of the Durfee square
construction. This talk is based on joint work with K.N. Raghavan and S.
Viswanath.