Alex Berkovich

Affiliation: University of Florida

Email: alexb@math.ufl.edu

Title Of Talk: Nonsymmetrical extension of the Boulet-Pak rank identities

Abstract: In their recent paper Boulet and Pak introduced a new generalization of Dyson's rank. They named this statistic the (2,m)-rank. This rank is defined for partitions with at least two successive Durfee rectangles [x,x+m] and [y,y+m]. In general, this rank does not enjoy an analogue of the conjugation symmetry of Dyson's rank. In my talk I will provide a q-hypergeometric ``explanation'' and a generalization of the Boulet-Pak identities. In particular, I will discuss certain new generating functions with a positive (2,m)-rank.

Last update made Mon Mar 3 23:06:57 EST 2008.
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