The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups

DOI10.4064/bc113-0-14zbMath1390.17040arXiv1709.06546OpenAlexW2964127171MaRDI QIDQ4634629

Hadi Salmasian, Mohammad Mohammadi

Publication date: 10 April 2018

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06546

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ Integration on minimal Z22 -superspace and emergence of space ⋮ Extension of local positive definite \(\mathbb{Z}_2^n\)-superfunctions ⋮ \(\mathbb{Z}_2\times\mathbb{Z}_2\)-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions ⋮ The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)

Cites Work

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• Tensor product representations for orthosymplectic Lie superalgebras
• Local forms of morphisms of colored supermanifolds
• Mathematical foundations of supersymmetry
• Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles
• The category of Z2n-supermanifolds
• Generalized Lie algebras
• Symmetric and Alternate Matrices in An Arbitrary Field, I

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