பொதுமைப்படுத்தப்பட்ட பொய் கோட்பாடு மற்றும் பயன்பாடுகளின் இதழ்

Kazhdan Lusztig Cells in Infinite Coxeter Groups

Abstract

Belolipetsky MV and Gunnells PE

Groups defined by presentations of the form â�¨s1,...,sn | si2 = 1, (sisj)mij = 1(i,j=1,...,n)â�© are called Coxeter groups. The exponents mi,j ∈ N ∪ { ∞ } form the Coxeter matrix, which characterizes the group up to isomorphism. The Coxeter groups that are most important for applications are the Weyl groups and affine Weyl groups. For example, the symmetric group Sn is isomorphic to the Coxeter group with presentation â�¨s1,...,sn | si2 = 1 (i=1,...,n),(sisi+1)3=1(i=1,...,n-1)â�©, and is also known as the Weyl group of type An-1.