31 citations · 121 across the 23 of their papers we have counts for
Showing 2008 · math.QAShow all
3 papers · 2 filters
math.QA2008★ 11 cited
Drinfel'd doubles and Shapovalov determinants
I. Heckenberger, H. Yamane
The Shapovalov determinant for a class of pointed Hopf algebras is calculated, including quantized enveloping algebras, Lusztig's small quantum groups, and quantized Lie superalgeb…
math.QA2008★ 20 cited
Root systems and Weyl groupoids for Nichols algebras
I. Heckenberger, H. -J. Schneider
Motivated by work of Kac and Lusztig, we define a root system and a Weyl groupoid for a large class of semisimple Yetter-Drinfeld modules over an arbitrary Hopf algebra. The obtain…
math.QA2008★ 11 cited
The Nichols algebra of a semisimple Yetter-Drinfeld module
N. Andruskiewitsch, I. Heckenberger, H. -J. Schneider
We study the Nichols algebra of a semisimple Yetter-Drinfeld module and introduce new invariants such as real roots. The crucial ingredient is a `reflection' in the class of such N…