Connected Lie groups having faithful locally bounded (not necessarily continuous) finite-dimensional representations

Russian Journal of Mathematical Physics

Volumn 16, Issue 4, 2009, Pages 566-567

  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: 77952798636     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1061920809040116     Document Type: Article

References (12)

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3. Harish-Chandra, "On Faithful Representations of Lie Groups," Proc. Amer. Math.-Soc. 1, 205-210 (1950).
4. G. P. Hochschild, The Structure of Lie Groups (Holden-Day, San Francisco-London-Amsterdam, 1965).
5. G. P. Hochschild, "The Universal Representation Kernel of a Lie Group," Proc. Amer. Math. Soc. 11, 625-629 (1960).
6. G. P. Hochschild, "Complexification of Real Analytic Groups," Trans. Amer. Math. Soc. 125, 406-413 (1966).
7. G. P. Hochschild and G. D. Mostow, "Extensions of Representations of Lie Groups and Lie Algebras. I," Amer. J. Math. 79, 924-942 (1957).
8. D. Luminet and A. Valette, "Faithful Uniformly Continuous Representations of Lie Groups," J. London Math. Soc. (2) 49(1), 100-108 (1994).
9. A. I. Mal'cev, "On Linear Connected Locally-Closed Groups," Dokl. Akad. Nauk SSSR 40(3), 108-110 (1943) [C. R. (Doklady) Acad. Sci. URSS (N. S.) 40, 87-89 (1943)].
10. M. Moskowitz, "A Remark on Faithful Representations," Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 52 (1972), 829-831 (1973).
11. M. Moskowitz, "Faithful Representations and a Local Property of Lie Groups," Math. Z. 143, 193-198 (1975).
12. 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)].