Michel Enock

Enock is known for the 1992 book co-authored with Jean-Marie Schwartz on the subject of Kac algebras,{{cite book |last1=Enock|first1=Michel|last2=Schwartz|first2=Jean-Marie|title=Kac Algebras and Duality of Locally Compact Groups|year=1992|publisher=Springer-Verlag|isbn=978-3-540-54745-7| others=With a preface by Alain Connes. With a postface by Adrian Ocneanu| location= Berlin|mr=1215933|doi=10.1007/978-3-662-02813-1}} (not to be confused with Kac-Moody algebras). According to the French mathematician Alain Connes,{{cite book | url = https://link.springer.com/book/10.1007/978-3-662-02813-1#about-this-book| first = Alain | last = Connes | title = Preface to the book 'Kac algebras' | year=1992 | publisher = Springer| doi = 10.1007/978-3-662-02813-1 | isbn = 978-3-642-08128-6 }} the book develops the general theory to characterize quantum groups among Hopf algebras, similar to the characterization of Lie groups among locally compact groups, "with emphasis on the analytical aspects of the subject instead of the purely algebraic ones". Further, Connes writes: {{cquote|The theory of Kac algebras and their duality, [was] 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 }}

Specifically, Enock co-developed a general Pontryagin duality theory for all locally compact groups.

Enock completed his postgraduate thesis (1971) and state thesis (1976) at Pierre and Marie Curie University. In 1971, he became an assistant professor at the University of Paris 13 (Sorbonne Paris North University). From 1978, he was a Researcher at the French National Centre for Scientific Research (CNRS). He received accreditation to direct research at Paris Diderot University in 1985. Enock became a Director of Research at CNRS in 2000 and a First class Research Director in 2011. From 2012, he has been Emeritus Research Director at CNRS.

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• Michel Enock's [https://zbmath.org/authors/enock.michel mathematics publications] at zbMATH Open
• [https://arxiv.org/search/math?searchtype=author&query=Enock%2C+M Preprints by Michel Enock] on arXiv

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Category:Living people

Category:1947 births

Category:20th-century French mathematicians

Category:21st-century French mathematicians

Category:Pierre and Marie Curie University alumni

Category:French National Centre for Scientific Research scientists

Category:Academic staff of Paris-Sorbonne University

Category:Academic staff of Paris Diderot University

Category:Place of birth missing (living people)

Category:Research directors of the French National Centre for Scientific Research