A New Approach to Kazhdan-Lusztig Theory of Type B Via Quantum Symmetric Pairs
Download or Read eBook A New Approach to Kazhdan-Lusztig Theory of Type B Via Quantum Symmetric Pairs PDF written by Huanchen Bao and published by . This book was released on 2018 with total page 148 pages. Available in PDF, EPUB and Kindle.
| Author | : Huanchen Bao |
| Publisher | : |
| Total Pages | : 148 |
| Release | : 2018 |
| ISBN-10 | : UCSD:31822042539635 |
| ISBN-13 | : |
| Rating | : 4/5 (35 Downloads) |
Book Synopsis A New Approach to Kazhdan-Lusztig Theory of Type B Via Quantum Symmetric Pairs by : Huanchen Bao
Book excerpt: 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.
