The general linear supergroup and its Hopf superalgebra of regular functions.

DOI10.1016/S0021-8693(02)00091-1zbMath1047.17016OpenAlexW1973818473MaRDI QIDQ1858154

Ruibin Zhang, Manfred Scheunert

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00091-1

zbMATH Keywords

general linear supergroupHopf superalgebra of functions

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) ``Super (or ``skew) structure (16W55)

Related Items

Composition factors of Kac modules for the general linear Lie superalgebras, Quantum superalgebra representations on cohomology groups of non-commutative bundles, Dual canonical bases for the quantum general linear supergroup, The first and second fundamental theorems of invariant theory for the quantum general linear supergroup, On the second fundamental theorem of invariant theory for the orthosymplectic supergroup, The first fundamental theorem of invariant theory for the orthosymplectic supergroup, Spherical functions on homogeneous superspaces, Unipotent algebraic affine supergroups and nilpotent Lie superalgebras., Double Koszul complex and construction of irreducible representations of $\mathfrak {gl}(3|1)$, Semisimplicity of Locally Finite Graded R#H-Modules, Cohomology of Lie superalgebras 𝔰𝔩_m|nand 𝔬𝔰𝔭_2|2n

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