T. Kobayashi, Varna lecture on L2-analysis of minimal representations, Lie Theory and Its Applications in Physics: IXth International Workshop (V. Dobrev, ed.), Springer Proceedings in Mathematics & Statistics, vol. 36, Springer, 2013, pp. 77-93, DOI: 10.1007/978-4-431-54270-4_6. arXiv: 1212.6871..

Minimal representations of a real reductive group G are the 'smallest irreducible unitary representations of G. The author suggests a program of global analysis built on minimal representations from the philosophy:
small representation of a group = large symmetries in a representation space.
This viewpoint serves as a driving force to interact algebraic representation theory with geometric analysis of minimal representations, yielding a rapid progress on the program. We give a brief guidance to recent works with emphasis on the Schrödinger model.

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