2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CO2005
On some noncommutative algebras related to K-theory of flag varieties, part I
Anatol N. Kirillov, Toshiaki Maeno
For any Lie algebra of classical type or type we define a -theoretic analog of Dunkl's elements, the so-called truncated {\it Ruijsenaars-Schneider-Macdonald elements}, $R…
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.CO2003★ 2 cited
Noncommutative algebras related with Schubert calculus on Coxeter groups
Anatol N. Kirillov, Toshiaki Maeno
For any finite Coxeter system we construct a certain noncommutative algebra, so-called {\it bracket algebra}, together with a familiy of commuting elements, so-called {\it…