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Algebra Logika, 2006 Volume 45, Number 3, Pages 257–299 (Mi al146)

This article is cited 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.

UDC: 512.552.22

Received: 06.12.2005


 English version:
Algebra and Logic, 2006, 45:3, 147–171

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© Steklov Math. Inst. of RAS, 2025