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Moscow Mathematical Journal, 2007, Volume 7, Number 3, Pages 481–487
DOI: https://doi.org/10.17323/1609-4514-2007-7-3-481-487
(Mi mmj293)
 

This article is cited in 3 scientific papers (total in 3 papers)

Unimodularity of Poincaré polynomials of Lie algebras for semisimple singularities

M. Jibladzea, D. Novikovb

a A. Razmadze Mathematical Institute, Georgian Academy of Sciences
b Weizmann Institute of Science
Full-text PDF Citations (3)
References:
Abstract: We single out a large class of semisimple singularities with the property that all roots of the Poincaré polynomial of the Lie algebra of derivations of the corresponding suitably (not necessarily quasihomogeneously) graded moduli algebra lie on the unit circle; for a still larger class there might occur exactly four roots outside the unit circle. This is a corrected version of a theorem by Elashvili and Khimshiashvili.
Key words and phrases: Isolated semisimple singularities, moduli algebra, derivations, Poincaré polynomial, palindromic polynomials.
Received: August 4, 2006
Bibliographic databases:
MSC: 32S10
Language: English
Citation: M. Jibladze, D. Novikov, “Unimodularity of Poincaré polynomials of Lie algebras for semisimple singularities”, Mosc. Math. J., 7:3 (2007), 481–487
Citation in format AMSBIB
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\by M.~Jibladze, D.~Novikov
\paper Unimodularity of Poincar\'e polynomials of Lie algebras for semisimple singularities
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 3
\pages 481--487
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\crossref{https://doi.org/10.17323/1609-4514-2007-7-3-481-487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2343144}
\zmath{https://zbmath.org/?q=an:1143.32017}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829400008}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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