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This article is cited in 25 scientific papers (total in 25 papers)
Some Properties of General Linear Supergroups and of Schur Superalgebras
A. N. Zubkov Omsk State Pedagogical University
Abstract:
It is shown that the category of rational supermodules over a general linear supergroup is a highest weight category. More exactly, we construct superanalogs of the theory of modules with good filtration and of the dual theory of modules with Weyl's. Using these, we show that indecomposable injective supermodules have good filtration of a certain kind.
Keywords:
countable linear ordering, $\Delta_2^0$-degree, $\Delta_2^0$-spectrum.
Received: 06.12.2005
Citation:
A. N. Zubkov, “Some Properties of General Linear Supergroups and of Schur Superalgebras”, Algebra Logika, 45:3 (2006), 257–299; Algebra and Logic, 45:3 (2006), 147–171
Linking options:
https://www.mathnet.ru/eng/al146 https://www.mathnet.ru/eng/al/v45/i3/p257
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Abstract page: | 435 | Full-text PDF : | 151 | References: | 64 | First page: | 2 |
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