Summary
We study direct limits \((G,K) = \underline{lim} (G_{n}, K_{n})\) of compact Gelfand pairs. First, we develop a criterion for a direct limit representation to be a multiplicityfree discrete direct sum of irreducible representations.
2000 Mathematics Subject Classifications: 20G05, 22E45, 22E65, 43A85, 43A90.
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Wolf, J.A. (2011). Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces. In: Neeb, KH., Pianzola, A. (eds) Developments and Trends in Infinite-Dimensional Lie Theory. Progress in Mathematics, vol 288. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4741-4_14
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DOI: https://doi.org/10.1007/978-0-8176-4741-4_14
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