%0 Generic %1 Losev2008 %A Losev, Ivan %D 2008 %K Category-O W-algebras %T On the structure of the category O for W-algebras %U http://arxiv.org/abs/0812.1584 %X W-algebra (of finite type) W is a certain associative algebra associated with a semisimple Lie algebra, say g, and its nilpotent element, say e. The goal of this paper is to study the category O for W introduced by Brundan, Goodwin and Kleshchev. We establish an equivalence of this category with certain category of g-modules. In the case when e is of principal Levi type (this is always so when g is of type A) the category of g-modules in interest is the category of generalized Whittaker modules introduced McDowel and studied by Milicic-Soergel and Backelin.

@misc{Losev2008, abstract = { W-algebra (of finite type) W is a certain associative algebra associated with a semisimple Lie algebra, say g, and its nilpotent element, say e. The goal of this paper is to study the category O for W introduced by Brundan, Goodwin and Kleshchev. We establish an equivalence of this category with certain category of g-modules. In the case when e is of principal Levi type (this is always so when g is of type A) the category of g-modules in interest is the category of generalized Whittaker modules introduced McDowel and studied by Milicic-Soergel and Backelin. }, added-at = {2009-07-22T21:21:03.000+0200}, author = {Losev, Ivan}, biburl = {https://www.bibsonomy.org/bibtex/2ee80fbb7c672fb53e7a26db5dfa44dc2/tbraden}, description = {[0812.1584] On the structure of the category O for W-algebras}, interhash = {82449d14d2f52fb150d7cb0d29b04ac4}, intrahash = {ee80fbb7c672fb53e7a26db5dfa44dc2}, keywords = {Category-O W-algebras}, note = {cite arxiv:0812.1584 Comment: 11 pages, v2 some gaps fixed, some proofs rewritten, Remark 5.4 added, v3 15 pages, some gaps fixed, a new section is added}, timestamp = {2009-07-22T21:21:03.000+0200}, title = {On the structure of the category O for W-algebras}, url = {http://arxiv.org/abs/0812.1584}, year = 2008 }