31 citations · 121 across the 23 of their papers we have counts for
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math.QA2006★ 22 cited
Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds
I. Heckenberger, S. Kolb
The quantum group version of the Bernstein-Gelfand-Gelfand resolution is used to construct a double complex of U_q(g)-modules with exact rows and columns. The locally finite dual o…
math.QA2006
A generalization of Coxeter groups, root systems, and Matsumoto's theorem
I. Heckenberger, H. Yamane
The root systems appearing in the theory of Lie superalgebras and Nichols algebras admit a large symmetry extending properly the one coming from the Weyl group. Based on this obser…
math.QA2006★ 1 cited
On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras
I. Heckenberger, S. Kolb
A Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein…