11 citations · 31 across the 6 of their papers we have counts for
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math.RT2006★ 4 cited
Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions
K. A. Brown, I. G. Gordon, C. H. Stroppel
We show how the existence of a PBW-basis and a large enough central subalgebra can be used to deduce that an algebra is Frobenius. This is done by considering the examples of ratio…
math.RA2006★ 7 cited
Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras
Kenneth A. Brown, James J. Zhang
We show that many noetherian Hopf algebras A have a rigid dualising complex R with R isomorphic to ^νA^1 [d]. Here, d is the injective dimension of the algebra and νis a certain k-…