Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture

Journal of Mathematical Sciences

Volumn 159, Issue 5, 2009, Pages 653-751

  Shtern, A I ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

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[No Author keywords available]

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EID: 67349113529     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-009-9466-3     Document Type: Conference Paper

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202. AI Shtern 2001 Bounded continuous real 2-cocycles on simply connected simple Lie groups and their applications Russ. J. Math. Phys. 8 1 122 133 (Pubitemid 33658676)
203. AI Shtern 2001 Remarks on pseudocharacters and the real continuous bounded cohomology of connected locally compact groups Ann. Global Anal. Geom. 20 3 199 221 (Pubitemid 33643858)
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206. AI Shtern 2002 Criteria for weak and strong continuity of representations of topological groups in Banach spaces Sb. Math. 193 9 1381 1396 (Pubitemid 36136663)
207. AI Shtern 2003 Continuity criteria for finite-dimensional representations of compact connected groups Adv. Stud. Contemp. Math. (Kyungshang) 6 2 141 156
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209. AI Shtern 2003 Deformation of irreducible unitary representations of a discrete series of Hermitian symmetric simple Lie groups in the class of pure pseudo-representations Math. Notes 73 3-4 452 454 (Pubitemid 38103891)
210. AI Shtern 2003 Values of invariant means, left averaging, and criteria for a locally compact group to be amenable as discrete group Russ. J. Math. Phys. 10 2 185 198 (Pubitemid 36802956)
211. AI Shtern 2004 Continuity conditions for finite-dimensional representations of some compact totally disconnected groups Adv. Stud. Contemp. Math. (Kyungshang) 8 1 13 22
212. AI Shtern 2004 Continuity conditions for finite-dimensional representations of some compact totally disconnected groups Adv. Stud. Contemp. Math. (Kyungshang) 8 1 13 22
213. AI Shtern 2004 Criteria for the continuity of finite-dimensional representations of connected locally compact groups Sb. Math. 195 9 1377 1391 (Pubitemid 40111814)
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215. AI Shtern 2004 Projective irreducible unitary representations of Hermitian symmetric simple Lie groups are generated by pure pseudorepresentations Adv. Stud. Contemp. Math. (Kyungshang) 9 1 1 6
216. AI Shtern 2005 Almost periodic functions and representations in locally convex spaces Russ. Math. Surv. 60 3 489 557 (Pubitemid 41639321)
217. AI Shtern 2005 Projective representations and pure pseudorepresentations of Hermitian symmetric simple Lie groups Math. Notes 78 1-2 128 133 (Pubitemid 41195834)
218. AI Shtern 2006 Van der Waerden continuity theorem for arbitrary semisimple Lie groups Russ. J. Math. Phys. 13 2 210 223 (Pubitemid 44888671)
219. AI Shtern 2006 Van der Waerden continuity theorem for the Poincaré group and for some other group extensions Adv. Theor. Appl. Math. 1 1 79 90
220. A. I. Shtern, "Van der Waerden's continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko's conjecture," Adv. Stud. Contemp. Math. (Kyungshang), 13, No. 2, 143-158 (2006).
221. AI Shtern 2006 Weak and strong continuity of representations of topologically pseudocomplete groups in locally convex spaces Sb. Math. 197 3 453 473 (Pubitemid 44218479)
222. A. I. Shtern, "Automatic continuity of pseudocharacters on Hermitian symmetric semisimple Lie groups," Adv. Stud. Contemp. Math. (Kyungshang), 12, No. 1, 1-8 (2007).
223. AI Shtern 2007 Kazhdan-Mil'man problem for semisimple compact Lie groups Russ. Math. Surv. 62 1 123 190
224. AI Shtern 2007 Stability of the van der Waerden theorem on the continuity of homomorphisms of compact semisimple Lie groups Appl. Math. Comput. 187 1 455 465 (Pubitemid 46646951)
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