ON QUOTIENTS OF AFFINE SUPERSCHEMES OVER FINITE SUPERGROUPS

DOI10.1142/S0219498811004604zbMath1230.14095arXiv0901.4687MaRDI QIDQ3103640

Alexandr N. Zubkov

Publication date: 8 December 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4687

zbMATH Keywords

supergroupHopf superalgebraprojective progenerator

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Supervarieties (14M30) Group actions on affine varieties (14R20) Hopf algebras and their applications (16T05)

Related Items (14)

The center of \(\mathrm{Dist}(\mathrm{GL}(m| n))\) in positive characteristic ⋮ Group superschemes ⋮ Solvability and nilpotency for algebraic supergroups ⋮ Affine algebraic super-groups with integral ⋮ Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field ⋮ Jantzen filtration of Weyl modules for general linear supergroups ⋮ Orbits of actions of group superschemes ⋮ Quotient sheaves of algebraic supergroups are superschemes ⋮ \(\mathbb{A}^{0|1}\)-torsors, quotients by free \(\mathbb{A}^{0|1}\)-actions, and embeddings into \(\Pi\)-projective spaces and super-Grassmannians \(G(1|1, n|n)\) ⋮ \(GL(m|n)\)-supermodules with good and Weyl filtrations. ⋮ Blocks for the general linear supergroup \(\mathrm{GL}(m|n)\) ⋮ Solvable, reductive and quasireductive supergroups ⋮ Some homological properties of GL(m|n) in arbitrary characteristic ⋮ Solvable and unipotent supergroups

Cites Work

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• Affine quotients of supergroups
• Braided module and comodule algebras, Galois extensions and elements of trace 1.
• Invariant theory
• Unipotent algebraic affine supergroups and nilpotent Lie superalgebras.
• The fundamental correspondences in super affine groups and super formal groups.

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