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- W2912894329 abstract "We define basic notions in the category of conic representations of a topological group and prove elementary facts about them. We show that a conic representation determines an ordinary dynamical system of the group together with a multiplier, establishing facts and formulae connecting the two categories. The topic is also closely related to the affine representations of the group. The central goal was attaining a better understanding of irreducible conic representations of a group, and - particularly - to determine whether there is a phenomenon analogous to the existence of a universal irreducible affine representation of a group in our category (the general answer is negative). Then we inspect embeddings of irreducible conic representations of semi-simple Lie groups in some regular conic representation they possess. We conclude with what is known to us about the irreducible conic representations of $SL_{2}left(mathbb{R}right)$." @default.
- W2912894329 created "2019-02-21" @default.
- W2912894329 creator A5080220902 @default.
- W2912894329 date "2019-01-22" @default.
- W2912894329 modified "2023-09-23" @default.
- W2912894329 title "Conic Representations of Topological Groups" @default.
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