320 citations · 1.6k across the 58 of their papers we have counts for
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math.QA2005
Good grading polytopes
Jonathan Brundan, Simon M. Goodwin
Let g be a finite dimensional semisimple Lie algebra over C and e be a nilpotent element. Elashvili and Kac have recently classified all good Z-gradings for e. We instead consider…
math.QA2005★ 1 cited
Dual canonical bases and Kazhdan-Lusztig polynomials
Jonathan Brundan
We derive a formula for the entries of the (unitriangular) transition matrices between the standard monomial and dual canonical bases of the irreducible polynomial representations…
math.RT2005★ 76 cited
Representations of shifted Yangians and finite W-algebras
Jonathan Brundan, Alexander Kleshchev
We study highest weight representations of shifted Yangians over an algebraically closed field of characteristic 0. In particular, we classify the finite dimensional irreducible re…