| Softcover ISBN: | 978-2-85629-889-3 |
| Product Code: | AST/402 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
| Softcover ISBN: | 978-2-85629-889-3 |
| Product Code: | AST/402 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
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Book DetailsAstérisqueVolume: 402; ; 134 ppMSC: Primary 17
The authors show that Hecke algebra of type \(B\) and a coideal subalgebra of the type \(A\) quantum group satisfy 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 ortho-symplectic Lie superalgebras \(\mathfrak{osp}(2m+1|2n)\). In particular, the authors' approach provides a new formulation of the Kazhdan-Lusztig theory for Lie algebras of type \(B/C\).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The authors show that Hecke algebra of type \(B\) and a coideal subalgebra of the type \(A\) quantum group satisfy 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 ortho-symplectic Lie superalgebras \(\mathfrak{osp}(2m+1|2n)\). In particular, the authors' approach provides a new formulation of the Kazhdan-Lusztig theory for Lie algebras of type \(B/C\).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
