No abstract

No abstract

We describe the Killing form of the quantum algebra using the duality pairing between the plus and the minus parts, and give a structure theorem for the center. A detailed proof of the existence of the universal R-matrix (Drinfeld's theorem) is also given.

No abstract

We shall give a description of the intersection cohomology groups of the Schubert varieties in partial flag manifolds over symmetrizable Kac᎐Moody Lie algebras in terms of parabolic Kazhdan᎐Lusztig polynomials introduced by Deod -Ž .har. ᮊ 2002 Elsevier Science USA