Compact forms of complex Lie supergroups

DOI10.1016/j.jpaa.2013.05.008zbMath1296.22009arXiv1205.5705OpenAlexW2964152906WikidataQ115345475 ScholiaQ115345475MaRDI QIDQ392401

Rita Fioresi

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5705

zbMATH Keywords

compact formcomplex Lie super groupsLie super algebras

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Homological methods in Lie (super)algebras (17B55) Supermanifolds and graded manifolds (58A50) Graded Lie (super)algebras (17B70) Lie algebras of Lie groups (22E60) General properties and structure of complex Lie groups (22E10)

Related Items

The Peter-Weyl theorem for \(\mathrm{SU}(1|1)\), Real forms of complex Lie superalgebras and supergroups, SUSY structures, representations and Peter-Weyl theorem for \(S^{1 | 1}\), The push-the-button algorithm for contragredient Lie superalgebras, Equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras, Hermitian real forms of contragredient Lie superalgebras, Finite dimensional compact and unitary Lie superalgebras

Cites Work

• Smoothness of algebraic supervarieties and supergroups
• The Harish-Chandra isomorphism for reductive symmetric superpairs
• Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field
• Mathematical foundations of supersymmetry
• Superdistributions, analytic and algebraic super Harish-Chandra pairs
• Representations of Super Lie Groups: Some Remarks
• Chevalley supergroups
• Algebraic supergroups with Lie superalgebras of classical type
• Lie superalgebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item