nLab super-unitary representation

Idea

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

Examples

• super multiplet

• unitary representation of the super Poincaré group

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 $\mathfrak{su}(p,q\vert n)$, Comm. Math. Phys. Volume 141, Number 3 (1991), 475-502. (Euclid)