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- W642785203 abstract "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." @default.
- W642785203 created "2016-06-24" @default.
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- W642785203 date "2007-01-01" @default.
- W642785203 modified "2023-09-23" @default.
- W642785203 title "On Stratified Algebras and Lie Superalgebras" @default.
- W642785203 hasPublicationYear "2007" @default.
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