Add to ORKGWe 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
AbstractWe identify a collection of primitive elements generating the Hopf algebra NCSym of symmetri...
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. Th...
International audienceWe define new families of noncommutative symmetric functions and quasi-symmetr...
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analy...
AbstractWe identify two seemingly disparate structures: supercharacters, a useful way of doing Fouri...
International audienceWe identify two seemingly disparate structures: supercharacters, a useful way ...
International audienceWe identify two seemingly disparate structures: supercharacters, a useful way ...
International audienceWe identify two seemingly disparate structures: supercharacters, a useful way ...
23 pagesInternational audienceWe identify two seemingly disparate structures: supercharacters, a use...
23 pagesInternational audienceWe identify two seemingly disparate structures: supercharacters, a use...
AbstractWe identify two seemingly disparate structures: supercharacters, a useful way of doing Fouri...
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analy...
The character theory of the group UTn(q) of unipotent upper triangular matrices over a finite field of...
We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular ...
International audienceWe provide a Hopf algebra structure on the supercharacter theory for the unipo...
AbstractWe identify a collection of primitive elements generating the Hopf algebra NCSym of symmetri...
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. Th...
International audienceWe define new families of noncommutative symmetric functions and quasi-symmetr...
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analy...
AbstractWe identify two seemingly disparate structures: supercharacters, a useful way of doing Fouri...
International audienceWe identify two seemingly disparate structures: supercharacters, a useful way ...
International audienceWe identify two seemingly disparate structures: supercharacters, a useful way ...
International audienceWe identify two seemingly disparate structures: supercharacters, a useful way ...
23 pagesInternational audienceWe identify two seemingly disparate structures: supercharacters, a use...
23 pagesInternational audienceWe identify two seemingly disparate structures: supercharacters, a use...
AbstractWe identify two seemingly disparate structures: supercharacters, a useful way of doing Fouri...
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analy...
The character theory of the group UTn(q) of unipotent upper triangular matrices over a finite field of...
We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular ...
International audienceWe provide a Hopf algebra structure on the supercharacter theory for the unipo...
AbstractWe identify a collection of primitive elements generating the Hopf algebra NCSym of symmetri...
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. Th...
International audienceWe define new families of noncommutative symmetric functions and quasi-symmetr...