Supercharacters, symmetric functions in noncommuting variables, extended abstract

1Citations
Citations of this article
9Readers
Mendeley users who have this article in their library.

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. © 2011 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France.

Cite

CITATION STYLE

APA

Aguiar, M., André, C., Benedetti, C., Bergeron, N., Chen, Z., Diaconis, P., … Zabrocki, M. (2011). Supercharacters, symmetric functions in noncommuting variables, extended abstract. In FPSAC’11 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics (pp. 3–14). https://doi.org/10.46298/dmtcs.2967

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free