The r - Polynomials in Hecke Algebras with Unequal Parameters
نویسندگان
چکیده
This paper is concerned with some important properties of r-polynomials in Hecke algebras with unequal parameters . In chapter one, we briefly introduce some conceptions in Coxeter group W and some notations in Hecke algebra H. In chapter two, we give some important properties of some r-polynomials which satisfy ry,w = ∏l(w)−l(y) i=1 (vsi − v−1 si ) when y ≤ w in W and w = s1s2 · · · sq is any reduced expression.
منابع مشابه
Hecke Algebra with Unequal Parameters
Let (W,S) be a Coxeter system and H the associated Hecke algebra with unequal parameters. The Laurent polynomials Ms y,w and py,w for y, w ∈ W and s ∈ S play an important role in the representations of H. We study the properties of Ms y,w and py,w, the relations among them, as well as with the left, right and two-sided cells of W . In his book [5], Lusztig gave a systematic introduction to the ...
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