Titlebook: Representation Theory of Solvable Lie Groups and Related Topics; Ali Baklouti,Hidenori Fujiwara,Jean Ludwig Book 2021 The Editor(s) (if ap

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Representation Theory of Solvable Lie Groups and Related Topics

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Intertwining Operators for Irreducible Representations of an Exponential Solvable Lie Group,When we study problems in representation theory, it is often very useful to construct an intertwining operator between two equivalent unitary representations. A prototype arises in the following situation. Let . be an exponential solvable Lie group with Lie algebra . and . two (real) polarizations of . at . verifying the Pukanszky condition.

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Bounded Irreducible Representations,Let . be an exponential solvable Lie group. In this chapter we characterize bounded, topologically irreducible Banach-space representations of . using triples (?Ω, ., ∥∥), where . is a coadjoint orbit of ., . is a topologically irreducible representation of the algebra . for a certain . and a weight . on ., and ∥∥ is a so-called extension norm.

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Ali Baklouti,Hidenori Fujiwara,Jean LudwigThis book is unique in the domain of representation theory of solvable Lie groups.Solves many problems in relation with many other research fields.Appears as a perfect tool for researchers and beginne

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