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• W1566803529 abstract "We discuss a class of deformations of the inhomogeneous classical algebras im [k(n)⊕k(m)] to k(n,m) for 1 ≤ m ≤ n. This generalizes the previously known expansions i k(n)⇒k(n,1). As the title indicates, this is done explicitly for the orthogonal, unitary, and symplectic cases. We construct the corresponding deformed groups K(n,m) as multiplier representations on the space of functions over the rank m coset space K(n - m)K(n). This method allows us to build a principal series of unitary representations of K(n,m). The contractions of the deformed algebras and groups are considered." @default.
• W1566803529 created "2016-06-24" @default.
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• W1566803529 date "1974-12-01" @default.
• W1566803529 modified "2023-10-16" @default.
• W1566803529 title "The algebra and group deformations Im [SO(n)⊗SO(m)]⇒SO(n,m), Im [U(n)⊗U(m)]⇒U(n,m), and Im [Sp(n)⊗Sp(m)]⇒Sp(n,m) for 1⩽m⩽n" @default.
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• W1566803529 doi "https://doi.org/10.1063/1.1666589" @default.
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