38:
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The theory of Kac algebras and their duality, elaborated independently by M. Enock and J. -M. Schwartz, and by G. I. Kac and L. I. Vainermann in the seventies. The subject has now reached a state of maturity
1337:
Berezanskii, Yu. M.; Berezin, F. A.; Bogolyubov, N. N.; Vainerman, L. I.; Daletskii, Yu. L.; Kirillov, A. A.; Palyutkin, V. G.; Khatset, B. I.; Èidel'man, S. D. (1979). "Georgii
Isaakovich Kats (obituary)".
778:
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Mathematics
Laboratory, becoming a full professor in 2005. He directed three Ph.D. dissertations there (those of Pierre Fima, Camille Mével and Frank Taipe). He has been a professor emeritus at
1631:
1255:
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Vainerman, Leonid I.; Gorbachuk, Myroslav L. (1975). "On boundary value problems for a second-order differential equation of hyperbolic type in a
Hilbert space".
318:
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147:
85:
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in France, where he organized a prominent meeting of theoretical physicists and mathematicians. While there, he also collaborated with Dmitri
Nikshych and
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Locally
Compact Quantum Groups and Groupoids: Proceedings of the Meeting of Theoretical Physicists and Mathematicians, Strasbourg, February 21–23, 2002
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159:
1483:"A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras"
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Nikshych, Dmitri; Vainerman, Leonid (2002). "Finite quantum groupoids and their applications". In
Montgomery, Susan (ed.).
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89:
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397:
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245:
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1196:. Mathematical Sciences Research Institute Publications. Vol. 43. Cambridge University Press. pp. 211–262.
269:
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and Jean-Marie
Schwartz on Kac algebras. Per Alain Connes, these results form "a general theory to characterize
505:
372:
167:
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240:: Леонид Иосифович Вайнерман; alternative spelling: Leonid Iosifovich Vajnerman; born November 15, 1946, in
1566:
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In the 1970s, Vainerman collaborated with George I. Kac (Georgii
Isaakovich Kats) on generalizations of
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since 2015. While at Caen, Vainerman collaborated with Dmitri
Nikshych and Jean-Michel Vallin.
1197:
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661:. With a preface by Alain Connes. With a postface by Adrian Ocneanu. Berlin: Springer-Verlag.
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February 21–23, 2002 that assembled theoretical physicists and mathematicians specializing in
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to non-commutative groups and developed the concept now known as Kac algebras (distinct from
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1048:. IRMA Lectures in Mathematics and Theoretical Physics. 2. Walter de Gruyter. p. 247.
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Kac algebras arising from composition of subfactors: General theory and classification
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37:
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966:"Extensions of locally compact quantum groups and the bicrossed product construction"
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Vainerman, Leonid I.; Filimonova, Natalya B. (July 8, 1994). Iverson, A. Evan (ed.).
509:
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501:. He is credited as a co-author or editor in more than 70 mathematics publications.
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Boundary value problems for second order differential equations in a
Hilbert space
1557:
1043:
880:
1561:
482:
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1478:
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Vajnerman, L. I.; Kalyuzhnyj, A. A. (1994). "Quantized hypercomplex systems".
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244:, Ukraine) is a Ukrainian and French mathematician, professor emeritus at
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338:(Paris VI). During this appointment, he had fruitful collaborations with
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839:
540:
212:
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Classification of actions of discrete Kac algebras on injective factors
896:
276:, a set of results that served as a precursor for the modern theory of
137:
926:
Vainerman, L.; Kerner, R. (1996). "On special classes of n-algebras".
794:
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to the book by Enock and Schwartz, Kac algebras and their actions on
178:
75:
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Institute of Mathematics of National Academy of Sciences of Ukraine
90:
Institute of Mathematics of National Academy of Sciences of Ukraine
1570:
439:. The contributions of both teams are covered in the 1992 book by
298:
1167:
862:"International Solomon University: Renassaince of Jewish Culture"
274:
Pontryagin-style dualities for non-commutative topological groups
365:
306:
241:
1442:. Memoirs of the American Mathematical Society. Vol. 245.
1380:. Memoirs of the American Mathematical Society. Vol. 158.
1084:
Nikshych, Dmitri; Turaev, Vladimir; Vainerman, Leonid (2003).
371:
From 2000 to 2002, Vainerman was a visiting professor at the
1086:"Invariants of knots and 3-manifolds from quantum groupoids"
1585:
1170:. ABES search engine for French doctoral theses (theses.fr)
481:
In his subsequent research, Vainerman obtained results on
360:
From 1998 to 2002, Vainerman was a visiting researcher at
334:
From 1992 to 1995, Vainerman was a visiting researcher at
1308:"Nonunimodular ring groups and Hopf–von Neumann algebras"
474:
naturally arise in the theory of subfactors developed by
779:"Algorithms for Multispectral and Hyperspectral Imagery"
1236:
1230:"Classifying (weak) coideal subalgebras of weak Hopf
881:"Deformation of a Kac algebra by an abelian subgroup"
959:
957:
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Taras Shevchenko National University of Kyiv alumni
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659:Kac Algebras and Duality of Locally Compact Groups
1632:Academic staff of the University of Caen Normandy
1539:from 1973 to 1995 at Math-net.ru; the same list
431:The two teams independently developed a general
349:In 1999, Vainerman was a visiting researcher at
1413:Newsletter of the European Mathematical Society
1228:Vainerman, Leonid; Vallin, Jean-Michel (2020).
425:
1306:Vainerman, Leonid I.; Kats, George I. (1973).
543:(in French). The French National Centre (CNRS)
1371:
1369:
353:, where he had a fruitful collaboration with
8:
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819:Chapovsky, Yu. A.; Vainerman, L. I. (1999).
657:Enock, Michel; Schwartz, Jean-Marie (1992).
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516:applications in quantum theories beyond the
319:Taras Shevchenko National University of Kyiv
295:Taras Shevchenko National University of Kyiv
148:Taras Shevchenko National University of Kyiv
86:Taras Shevchenko National University of Kyiv
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317:(Gorbachuk). Vainerman was a professor at
1438:Masuda, Toshihiko; Tomatsu, Reiji (2016).
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964:Vaes, Stefaan; Vainerman, Leonid (2003).
879:Enock, Michel; Vainerman, Leonid (1996).
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565:(in Ukrainian). Kyiv Mathematical Society
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297:and graduated in 1969. He completed his
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1376:Izumi, Masaki; Kosaki, Hideki (2002).
1020:. Max Planck Institute for Mathematics
652:
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419:According to the French mathematician
248:. Vainerman's research results are in
1622:20th-century Ukrainian mathematicians
1586:Nicolas Oresme Mathematics Laboratory
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504:Vainerman organized a meeting at the
451:, similar to the characterization of
293:Vainerman studied mathematics at the
7:
588:"Publication of Leonid I. Vainerman"
362:Max Planck Institute for Mathematics
329:Visiting France, Belgium and Germany
164:Max Planck Institute for Mathematics
459:." As mentioned in the postface by
289:Degrees and appointments in Ukraine
1627:21st-century French mathematicians
620:Preface to the book 'Kac algebras'
541:"Leonid Vainerman - personal page"
321:until 1992. He was a professor at
16:Ukrainian and French mathematician
14:
868:(in Ukrainian). October 24, 1994.
336:Pierre and Marie Curie University
272:. In the 1970s, he co-developed
156:Pierre and Marie Curie University
323:International Solomon University
152:International Solomon University
68:
1477:Izumi, Masaki; Longo, Roberto;
1352:10.1070/RM1979v034n02ABEH002912
1194:New directions in Hopf algebras
1042:Vainerman, Leonid, ed. (2003).
1018:"Preprints by Leonid Vainerman"
704:. Mathematics Genealogy Project
254:ordinary differential equations
1487:Journal of Functional Analysis
1284:10.1016/j.jalgebra.2019.12.026
351:Katholieke Universiteit Leuven
236:: Леонiд Йосипович Вайнерман;
160:Katholieke Universiteit Leuven
1:
1567:Preprints by Leonid Vainerman
1113:10.1016/S0166-8641(02)00055-X
995:10.1016/S0001-8708(02)00040-3
821:"Compact quantum hypergroups"
702:"Leonid Iosifovich Vainerman"
563:"Leonid Iosifovich Vainerman"
392:as an associate professor in
384:Permanent appointment in Caen
1409:"Ideas that will outlast us"
1340:Russian Mathematical Surveys
783:SPIE Conference Proceedings
398:University of Caen Normandy
390:University of Caen Normandy
246:University of Caen Normandy
230:Leonid Iosifovich Vainerman
172:University of Caen Normandy
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1407:Vainerman, Leonid (2014).
1312:Doklady Akademii Nauk SSSR
828:Journal of Operator Theory
725:Soviet Mathematics Doklady
270:abstract harmonic analysis
103:, quantum hypergroups and
30:Леонiд Йосипович Вайнерман
1588:at the University of Caen
667:10.1007/978-3-662-02813-1
629:10.1007/978-3-662-02813-1
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1558:mathematics publications
1548:mathematics publications
1537:mathematics publications
506:University of Strasbourg
404:Scientific contributions
373:University of Strasbourg
168:University of Strasbourg
29:
971:Advances in Mathematics
313:under the direction of
1510:10.1006/jfan.1997.3228
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617:Connes, Alain (1992).
457:locally compact groups
437:locally compact groups
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1617:Soviet mathematicians
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1250:{\displaystyle C^{*}}
493:, as well as quantum
388:Vainerman joined the
303:Candidate of Sciences
199:Myroslav L. Gorbachuk
1612:Scientists from Kyiv
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472:von Neumann algebras
284:Education and career
130:mathematical physics
1575:Leonid Vainerman's
1556:Leonid Vainerman's
1546:Leonid Vainerman's
1535:Leonid Vainerman's
325:from 1992 to 2002.
250:functional analysis
134:functional analysis
23:Leonid I. Vainerman
1642:Operator theorists
1261:Journal of Algebra
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1168:"Leonid Vainerman"
1147:"Leonid Vainerman"
897:10.1007/BF02108816
885:Commun. Math. Phys
433:Pontryagin duality
414:Kac-Moody algebras
410:Pontryagin duality
315:Myroslav Horbachuk
262:topological groups
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1386:10.1090/memo/0750
1055:978-3-11-020005-8
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676:978-3-540-54745-7
638:978-3-642-08128-6
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