Geodesic
Category $\mathcal O$ for quantum groups
Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 405-431.

Voir la notice de l'article provenant de la source EMS Press

In this paper we study the BGG-categories Oq​ associated to quantum groups. We prove that many properties of the ordinary BGG-category O for a semisimple complex Lie algebra carry over to the quantum case.
DOI : 10.4171/jems/506
Classification : 17-XX, 00-XX, 20-XX
Keywords: Quantized highest weights modules, specialization at roots of unity, tensor decompositions, tilting modules 
@article{JEMS_2015_17_2_a4,
     author = {Henning Haahr Andersen and Volodymyr Mazorchuk},
     title = {Category $\mathcal O$ for quantum groups},
     journal = {Journal of the European Mathematical Society},
     pages = {405--431},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2015},
     doi = {10.4171/jems/506},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/506/}
}
TY  - JOUR
AU  - Henning Haahr Andersen
AU  - Volodymyr Mazorchuk
TI  - Category $\mathcal O$ for quantum groups
JO  - Journal of the European Mathematical Society
PY  - 2015
SP  - 405
EP  - 431
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/506/
DO  - 10.4171/jems/506
ID  - JEMS_2015_17_2_a4
ER  - 
%0 Journal Article
%A Henning Haahr Andersen
%A Volodymyr Mazorchuk
%T Category $\mathcal O$ for quantum groups
%J Journal of the European Mathematical Society
%D 2015
%P 405-431
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/506/
%R 10.4171/jems/506
%F JEMS_2015_17_2_a4
Henning Haahr Andersen; Volodymyr Mazorchuk. Category $\mathcal O$ for quantum groups. Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 405-431. doi : 10.4171/jems/506. http://geodesic.mathdoc.fr/articles/10.4171/jems/506/

Cité par Sources :