320 citations · 719 across the 12 of their papers we have counts for
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math.RT2008★ 320 cited
Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
Jonathan Brundan, Alexander Kleshchev
We construct an explicit isomorphism between blocks of cyclotomic Hecke algebras and (sign-modified) Khovanov-Lauda algebras in type A. These isomorphisms connect the categorificat…
math.RT2008★ 5 cited
Highest weight theory for finite W-algebras
Jonathan Brundan, Simon M. Goodwin, Alexander Kleshchev
We define analogues of Verma modules for finite W-algebras. By the usual ideas of highest weight theory, this is a first step towards the classification of finite dimensional irred…