320 citations · 719 across the 12 of their papers we have counts for
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Elementary invariants for centralizers of nilpotent matrices
Jonathan Brown, Jonathan Brundan
We construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the Lie algebra…
Centers of degenerate cyclotomic Hecke algebras and parabolic category O
Jonathan Brundan
We prove that the center of each degenerate cyclotomic Hecke algebra associated to the complex reflection group of type B_d(l) consists of symmetric polynomials in its commuting ge…
Symmetric functions, parabolic category O and the Springer fiber
Jonathan Brundan
We prove that the center of a regular block of parabolic category O for the general linear Lie algebra is isomorphic to the cohomology algebra of a corresponding Springer fiber. Th…
Schur-Weyl duality for higher levels
Jonathan Brundan, Alexander Kleshchev
We extend Schur-Weyl duality to an arbitrary level , the case recovering the classical duality between the symmetric and general linear groups. In general, the symm…