## Kazhdan-Lusztig theory of super type D and quantum symmetric pairs

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- by Huanchen Bao PDF
- Represent. Theory
**21**(2017), 247-276 Request permission

## Abstract:

We reformulate the Kazhdan-Lusztig theory for the BGG category $\mathcal {O}$ of Lie algebras of type D via the theory of canonical bases arising from quantum symmetric pairs initiated by Weiqiang Wang and the author. This is further applied to formulate and establish for the first time the Kazhdan-Lusztig theory for the BGG category $\mathcal {O}$ of the ortho-symplectic Lie superalgebra $\mathfrak {osp}(2m|2n)$.## References

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## Additional Information

**Huanchen Bao**- Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
- MR Author ID: 1193508
- Email: huanchen@math.umd.edu
- Received by editor(s): January 19, 2017
- Received by editor(s) in revised form: July 25, 2017
- Published electronically: September 13, 2017
- © Copyright 2017 American Mathematical Society
- Journal: Represent. Theory
**21**(2017), 247-276 - MSC (2010): Primary 17B10
- DOI: https://doi.org/10.1090/ert/505
- MathSciNet review: 3696376