Functional analytic background for a theory of infinite-dimensional reductive Lie groups

Mathematics – Representation Theory

Scientific paper

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17 pages

Scientific paper

Motivated by the interesting and yet scattered developments in representation
theory of Banach-Lie groups, we discuss several functional analytic issues
which should underlie the notion of infinite-dimensional reductive Lie group:
norm ideals, triangular integrals, operator factorizations, and amenability.

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