Typical blocks of the category O for the queer Lie superalgebra
2007 (English)In: Journal of Algebra and its Applications, ISSN 0219-4988, Vol. 6, no 5, 731-778 p.Article in journal (Refereed) Published
We study the category O for the queer Lie superalgebra q(n), and the corresponding block decomposition induced by infinitesimal central characters. In particular, we show that the so-called typical blocks correspond to standardly stratified algebras, in the sense of Cline, Parshall and Scott. By standard arguments for Lie algebras, modified to the superalgebra situation, we prove that these CPS-stratified algebras have finite finitistic dimension and the double centralizer property. Moreover, we prove that certain strongly typical blocks are equivalent. Finally, we generalize Kostant's Theorem to the q(n)-case and describe all typical q(2)-blocks.
Place, publisher, year, edition, pages
2007. Vol. 6, no 5, 731-778 p.
the queer Lie superalgebra q(n), standardly stratified algebra, quasi-hereditary algebra
IdentifiersURN: urn:nbn:se:uu:diva-95662ISI: 000250863400001OAI: oai:DiVA.org:uu-95662DiVA: diva2:169967