133 citations · 1.4k across the 77 of their papers we have counts for
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math.RT2011★ 17 cited
A supercharacter table decomposition via power-sum symmetric functions
Nantel Bergeron, Nathaniel Thiem
We give an -factorization of the supercharacter table of the group of unipotent upper triangular matrices over $\FF_q$, where is a lower-triangular matrix with…
math.RT2010★ 30 cited
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…
math.RT2005★ 74 cited
Drinfel'd Doubles and Lusztig's Symmetries of Two-Parameter Quantum Groups
Nantel Bergeron, Yun Gao, Naihong Hu
We find the defining structures of two-parameter quantum groups corresponding to the orthogonal and the symplectic Lie algebras, which are realized as Drinfel'd…