20 citations · 35 across the 4 of their papers we have counts for
4 papers
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…
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…
Weyl groupoids of rank two and continued fractions
M. Cuntz, I. Heckenberger
A relationship between continued fractions and Weyl groupoids of Cartan schemes of rank two is found. This allows to decide easily if a given Cartan scheme of rank two admits a fin…
Weyl groupoids with at most three objects
M. Cuntz, I. Heckenberger
We adapt the generalization of root systems of the second author and H. Yamane to the terminology of category theory. We introduce Cartan schemes, associated root systems and Weyl…