Simple Finite Jordan Pseudoalgebras

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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dc.contributor.author	Kolesnikov, P.
dc.date.accessioned	2019-02-19T19:18:19Z
dc.date.available	2019-02-19T19:18:19Z
dc.date.issued	2009
dc.identifier.citation	Simple Finite Jordan Pseudoalgebras / P. Kolesnikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 17C50; 17B60; 16W30
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149246
dc.description.abstract	We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie algebra over C, Γ is an arbitrary group acting on U(h) by automorphisms. We construct an analogue of the Tits-Kantor-Koecher construction for finite Jordan pseudoalgebras and describe all simple ones.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. I am very grateful to L.A. Bokut, I.V. L’vov, E.I. Zel’manov, and V.N. Zhelyabin for their interest in the present work and helpful discussions. It is my pleasure to appreciate the ef forts of the referees, whose suggestions and comments helped me to make the paper readable. The work was partially supported by SSc-344.2008.1. I gratefully acknowledge the support of the Pierre Deligne fund based on his 2004 Balzan prize in mathematics, and Novosibirsk City Administration grant of 2008.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Simple Finite Jordan Pseudoalgebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA