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On Unitary Representations of the Inhomogeneous Lorentz Group
Nuclear Physics B - Proceedings Supplements, 1939It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally represented by wave functions3 in such a way that φ and constant multiples of φ represent the same physical state.
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On pseudo-unitary representations
Czechoslovak Journal of Physics, 1987The structure of representations of a group on a finite dimensional complex vector space with a non-degenerate invariant (indefinite) inner product is analysed in terms of layers of Gupta-Bleuler triplets.
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Unitary Representations of Supergroups
1986To find the obstructions to integrability of representations of superalgebras, we have studied the problem of deciding on a fruitful definition of supergroup. The most natural definition turns out to be a semidirect product, G = X·Go, where Go is a Lie group and the invariant subsupergroup is in a certain sense nilpotent.
C. Fronsdal, T. Hirai
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Weyl groups, the Dirac inequality, and isolated unitary unramified representations
Indagationes Mathematicae, 2022Dan Ciubotaru
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Positive Unitary Representations
2000In this chapter we collect some preliminaries in abstract Hilbert analysis which will be used in subsequent chapters.
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A question of Katz and Tiep on representations of finite general unitary groups
Communications in Algebra, 2022Lee Tae Young
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The unitary multiplicity‐free representations of SL4(R)
Journal of Mathematical Physics, 1980John L Friedman, Rafael D Sorkin
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The unitary irreducible representations of SU(2,1)
Journal of Mathematical Physics, 1990Itzhak Bars
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