Typical blocks of the category O for the queer Lie superalgebra
نویسنده
چکیده
We study of 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.
منابع مشابه
Regular Strongly Typical Blocks of O
We use the technique of Harish-Chandra bimodules to prove that regular strongly typical blocks of the category O for the queer Lie superalgebra qn are equivalent to the corresponding blocks of the category O for the Lie algebra gl n .
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