Introduction to Quantum Groups

摘要: THE DRINFELD JIMBO ALGERBRA U.- The Algebra f.- Weyl Group, Root Datum.- Quasi--Matrix.- Symmetries of an Integrable U-Module.- Complete Reducibility Theorems.- Higher Order Quantum Serre Relations.- GEOMETRIC REALIZATION OF F.- Review the Theory Perverse Sheaves.- Quivers and Fourier-Deligne Transform.- Periodic Functors.- with Automorphisms.- Algebras k.- Signed Basis KASHIWARAS OPERATIONS AND APPLICATIONS.- .- Kashiwara's Operators in Rank 1.- Applications.- Study Inner Product on Bases at ?.- Cartan Data Finite Type.- Positivity Action Fi, Ei Simply-Laced Case.- CANONICAL BASIS Canonical Certain Tensor Products.- Based Modules.- for Coinvariants Cyclic Permutations.- A Refinement Peter-Weyl Theorem.- Topological CHANGE RINGS.- Commutativity Isomorphism.- Relation Kac-Moody Lie Algebras.- Gaussian Binomial Coefficients Roots Frobenius Homomorphism.- BRAID GROUP ACTION.- Braid Group U+.- Integrality Properties Symmetries.- ADE Case.