133 citations · 1.4k across the 77 of their papers we have counts for
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Primitive orthogonal idempotents for R-trivial monoids
Chris Berg, Nantel Bergeron, Sandeep Bhargava +1
We construct a recursive formula for a complete system of primitive orthogonal idempotents for any -trivial monoid. This uses the newly proved equivalence between the notions of…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
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 fi…
The symmetric operation in a free pre-Lie algebra is magmatic
Nantel Bergeron, Jean-Louis Loday
A pre-Lie product is a binary operation whose associator is symmetric in the last two variables. As a consequence its antisymmetrization is a Lie bracket. In this paper we study th…