Infinite Dimensional Unitary Representations of Lie Groups

introduction

• Bargmann[1947] on SL(2, R) and I. M. Gelfand-M. A. Naimark[1947] on SL(2,C)

expositions

• Schmid, Wilfried, and Kari Vilonen. ‘Hodge Theory and Unitary Representations, in the Example of $\mathrm{SL}(2,\mathbb{R})$’. arXiv:1506.00200 [math], 31 May 2015. http://arxiv.org/abs/1506.00200.
• Mitsuo, Sugiura. ‘The Origins of Infinite Dimensional Unitary Representations of Lie Groups’. In The Intersection of History and Mathematics, edited by Professor Ch Sasaki, Professor M. Sugiura, and Professor J. W. Dauben, 231–40. Science Networks · Historical Studies 15. Birkhäuser Basel, 1994. http://link.springer.com/chapter/10.1007/978-3-0348-7521-9_15.