Von Neumann kernels of connected lie groups, revisited and refined

Russian Journal of Mathematical Physics

Volumn 17, Issue 2, 2010, Pages 262-266

  Shtern, A I ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953435446     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: 10.1134/S106192081002010X     Document Type: Article

References (14)

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3. A. Weil, L'intégration dans les groupes topologiques et ses applications, Actual. Sci. Ind., no. 869 (Hermann, Paris, 1940; Princeton, NJ, 1941; Moscow, Izd. Inostr. Lit., 1050).
4. M. Kuranishi, "On Non-Connected Maximally Almost Periodic Groups," Tôhoku Math. J. (2) 2, 40-46 (1950).
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8. Y. Matsushima, "On the Decomposition of an (L)-Group," J. Math. Soc. Japan 1, 264-274 (1950).
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10. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis. Vol. I (Springer-Verlag, Berlin-New York, 1979).
11. A. I. Shtern, "A Version of the van der Waerden Theorem and the Proof of the Mishchenko Conjecture for Homomorphisms of Locally Compact Groups," Izv. Ross. Akad. Nauk Ser. Mat. 72(1), 183-224 (2008) [Izv. Math. 72 (1), 169-205 (2008)].
12. A. I. Shtern, "Finite-Dimensional Quasirepresentations of Connected Lie Groups and Mishchenko's Conjecture," J. Math. Sci. 159(5), 653-751 (2009).
13. B. L. van der Waerden, "Stetigkeitssätze für halbeinfache Liesche Gruppen," Math. Z. 36, 780-786 (1933).
14. V. S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations (Prentice-Hall Inc., Englewood Cliffs, NJ, 1974).