Author Description

We Show That Hecke Algebra Of Type B And A Coideal Subalgebra Of The Type A Quantum Group Satsify A Double Centralizer Property, Generalizing The Schur-jimbo Duality In Type A. The Quantum Group Of Type A And Its Coideal Subalgebra Form A Quantum Symmetric Pair. A New Theory Of Canonical Bases Arising From Quantum Symmetric Pairs Is Initiated. It Is Then Applied To Formulate And Establish For The First Time A Kazhdan-lusztig Theory For The Bgg Category [o] Of The Orthosymplectic Lie Superalgebras Osp(2m + 1[vertical Bar]2n). In Particular, Our Approach Provides A New Formulation Of The Kazhdan-lusztig Theory For Lie Algebras Of Type B/c. Huanchen Bao, Weiqiang Wang. Includes Bibliographical References (pages 131-134). Abstract Also In French.