7 citations · 10 across the 5 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
math.QA2004
Exterior differential algebras and flat connections on Weyl groups
Anatol N. Kirillov, Toshiaki Maeno
We study some aspects of noncommutative differential geometry on a finite Weyl group in the sense of S. Woronowicz, K. Bresser {\it et al.}, and S. Majid. For any finite Weyl group…
math-ph2004★ 1 cited
Hypergeometric Generating Function of L-function, Slater's Identities, and Quantum Invariant
Kazuhiro Hikami, Anatol N. Kirillov
We study certain connections between the quantum invariants of the torus knots T_{3,2^k} and some q-series identities. In particular, we obtain new generalizations of Slater's iden…
math.CO2004★ 7 cited
An Invitation to the Generalized Saturation Conjecture
Anatol N. Kirillov
We report about some results, interesting examples, problems and conjectures revolving around the parabolic Kostant partition functions, the parabolic Kostka polynomials and ``satu…