Skip to Main content Skip to Navigation
Conference papers

Supercharacters, symmetric functions in noncommuting variables (extended abstract)

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.
Document type :
Conference papers
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download

https://hal.inria.fr/hal-01336771
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, June 23, 2016 - 5:26:38 PM
Last modification on : Thursday, February 25, 2021 - 11:28:02 AM
Long-term archiving on: : Saturday, September 24, 2016 - 12:15:48 PM

File

dmAO0102.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01336771, version 1

Collections

Citation

Marcelo Aguiar, Carlos André, Carolina Benedetti, Nantel Bergeron, Zhi Chen, et al.. Supercharacters, symmetric functions in noncommuting variables (extended abstract). 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.3-14. ⟨hal-01336771⟩

Share

Metrics

Record views

820

Files downloads

783