Actions and Identities on Set Partitions

A labeled set partition is a partition of a set of integers whose arcs are labeled by nonzero elements of an abelian group A. Inspired by the action of the linear characters of the unitriangular group on its supercharacters, we define a group action of A[superscript n] on the set of A-labeled partit...

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Bibliographic Details
Main Author: Marberg, Eric
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Electronic Journal of Combinatorics 2014
Online Access:http://hdl.handle.net/1721.1/89801