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- W1882156788 abstract "We study the category [Formula: see text] 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.
- W1882156788 created "2016-06-24" @default.
- W1882156788 creator A5024318253 @default.
- W1882156788 date "2007-10-01" @default.
- W1882156788 modified "2023-10-02" @default.
- W1882156788 title "TYPICAL BLOCKS OF THE CATEGORY $mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA" @default.
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- W1882156788 doi "https://doi.org/10.1142/s0219498807002417" @default.
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