116 citations · 721 across the 70 of their papers we have counts for
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math.RT2006★ 60 cited
Current algebras, highest weight categories and quivers
Vyjayanthi Chari, Jacob Greenstein
We study the category of graded finite-dimensional representations of the polynomial current algebra associated to a simple Lie algebra. We prove that the category has enough injec…
math.RT2006★ 17 cited
Kirillov--Reshetikhin modules associated to G_2
Vyjayanthi Chari, Adriano Moura
We define and study the Kirillov--Reshetikhin modules for algebras of type . We compute the graded character of these modules and verify that they are in accordance with the c…
math.RT2006★ 16 cited
Graded level zero integrable representations of affine Lie algebras
Vyjayanthi Chari, Jacob Greenstein
We study the structure of the category of integrable level zero representations with finite dimensional weight spaces of affine Lie algebras. We show that this category possesses a…