Geodesic
A Quantum Analogue of the Bernstein Functor
S. Sinel'shchikov1 ; Alexander Stolin2 ; L. Vaksman1
1Inst. Low Temperature Physics Engineering, 47 Lenin Ave., 61103 Kharkov, Ukraine
2Chalmers Tekniska Högskola, Mathematics, 412 96 Göteborg, Sweden
Journal of Lie Theory, Tome 17 (2007) no. 1, pp. 73-89

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B37, 22E47
Mots-clés : Quantum Harish-Chandra modules, cohomological induction, Bernstein functor

S. Sinel'shchikov  1   ; Alexander Stolin  2   ; L. Vaksman  1

1 Inst. Low Temperature Physics Engineering, 47 Lenin Ave., 61103 Kharkov, Ukraine
2 Chalmers Tekniska Högskola, Mathematics, 412 96 Göteborg, Sweden 
S. Sinel'shchikov; Alexander Stolin; L. Vaksman. A Quantum Analogue of the Bernstein Functor. Journal of Lie Theory, Tome 17 (2007) no. 1, pp. 73-89. http://geodesic.mathdoc.fr/item/JOLT_2007_17_1_a4/
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