Document Type
Article
Department/Program
Mathematics
Journal Title
Advances in Mathematics
Pub Date
2012
Volume
229
Issue
4
First Page
2310
Abstract
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables. Each is a Hopf algebra and the two are isomorphic as such. This allows developments in each to be transferred. The identification suggests a rich class of examples for the emerging field of combinatorial Hopf algebras. (C) 2012 Elsevier Inc. All rights reserved.
Recommended Citation
Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; and Vinroot, C. Ryan, Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (2012). Advances in Mathematics, 229(4), 2310-2337.
10.1016/j.aim.2011.12.024
DOI
10.1016/j.aim.2011.12.024
