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 $G_2$ we define a $K$-theoretic analog of Dunkl's elements, the so-called truncated {\it Ruijsenaars-Schneider-Macdonald elements}, $R…