Quotient sheaves of algebraic supergroups are superschemes

DOI10.1016/j.jalgebra.2011.08.038zbMath1276.14076arXiv1007.2236OpenAlexW2963048497MaRDI QIDQ411756

Alexandr N. Zubkov, Akira Masuoka

Publication date: 30 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2236

zbMATH Keywords

algebraic supergroupbozonizationgeometric superspaceK-functorsupersuper Hopf algebrasuper quotient schemesupercomodulesupermodulesuperschemeYetter-Drinfeld moduled

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Supervarieties (14M30) Group schemes (14L15)

Related Items

Some properties of Noetherian superschemes, Algebraic supergroups and their representations, The center of \(\mathrm{Dist}(\mathrm{GL}(m| n))\) in positive characteristic, Group superschemes, Solvability and nilpotency for algebraic supergroups, The twofold way of super holonomy, Affine algebraic super-groups with integral, Hilbert series of typical representations for Lie superalgebras, Cohomological finite generation for restricted Lie superalgebras and finite supergroup schemes, On sheaf cohomology for supergroups arising from simple classical Lie superalgebras, Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field, Orbits of actions of group superschemes, Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem, Algebraic supergroups and Harish-Chandra pairs over a commutative ring, \(GL(m|n)\)-supermodules with good and Weyl filtrations., Quotients of complex algebraic supergroups, Borel-Weil theorem for algebraic supergroups, Solvable, reductive and quasireductive supergroups, Geometric construction of quotients \(G/H\) in supersymmetry, On the notion of Krull super-dimension, Solvable and unipotent supergroups

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