Algebraic supergroups with Lie superalgebras of classical type

zbMath1297.14057arXiv1106.4168MaRDI QIDQ4909057

Fabio Gavarini, Rita Fioresi

Publication date: 12 March 2013

Full work available at URL: https://arxiv.org/abs/1106.4168

zbMATH Keywords

Lie superalgebrasuperalgebraalgebraic supergroupChevalley basisChevalley supergroupSuper Harish-Chandra pair

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Supervarieties (14M30) Supermanifolds and graded manifolds (58A50) Modular Lie (super)algebras (17B50)

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Corrigendum to: ``Algebraic supergroups of Cartan type ⋮ Highest weight Harish-Chandra supermodules and their geometric realizations ⋮ Compact forms of complex Lie supergroups ⋮ SUSY structures, representations and Peter-Weyl theorem for \(S^{1 | 1}\) ⋮ Finite \(W\)-superalgebras and dimensional lower bounds for the representations of basic Lie superalgebras ⋮ Jantzen filtration and strong linkage principle for modular Lie superalgebras ⋮ Borel-Weil theorem for algebraic supergroups ⋮ Finite \(W\)-superalgebras for basic Lie superalgebras