Journal of Lie Theory

no. 1
A Quantum Analogue of the Bernstein Functor
Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 73-89
We consider Knapp-Vogan Hecke algebras in the quantum group setting. This allows us to produce a quantum analogue of the Bernstein functor as a first step towards the cohomological induction for quantum groups.
DOI: 10.5802/jolt.437
Classification: 17B37, 22E47
Keywords: Quantum Harish-Chandra modules, cohomological induction, Bernstein functor 
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     author = {S. Sinel'shchikov and A. Stolin and L. Vaksman},
     title = {A {Quantum} {Analogue} of the {Bernstein} {Functor}},
     journal = {Journal of Lie Theory},
     pages = {73--89},
     year = {2007},
     volume = {17},
     number = {1},
     doi = {10.5802/jolt.437},
     zbl = {1135.17008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.437/}
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S. Sinel'shchikov; A. Stolin; L. Vaksman. A Quantum Analogue of the Bernstein Functor. Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 73-89. doi: 10.5802/jolt.437

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