nLab
super-unitary representation

Context

Super-Algebra

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Background

Introductions

Superalgebra

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Supergeometry

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Supersymmetry

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Supersymmetric field theory

Applications

Representation theory

Ingredients

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Definitions

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Geometric representation theory

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Theorems

Contents

Idea

The generalization of the concept of unitary representation to superalgebra/supergroups.

Examples

References

  • Veeravalli Varadarajan, Unitary representations of super Lie groups, 2006 (pdf)

  • Hirotoshi Furutsu, T. Hirai, section 1.3 of Representations of Lie superalgebras, I. Extensions of representations of the even part, J. Math. Kyoto Univ. 28, 695-749 (1988) (Euclid)

  • Hirotoshi Furutsu, Kyo Nishiyama, Classification of irreducible super-unitary representations of š¯”°š¯”²(p,q|n)\mathfrak{su}(p,q\vert n), Comm. Math. Phys. Volume 141, Number 3 (1991), 475-502. (Euclid)

Created on October 26, 2016 at 16:25:48. See the history of this page for a list of all contributions to it.