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Trudy Moskovskogo Matematicheskogo Obshchestva, 2017, Volume 78, Issue 2, Pages 283–309 (Mi mmo601)  
This article is cited in 1 scientific paper (total in 1 paper)

Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core

V. Chernousova, E. Neherb, A. Pianzolaac

a Department of Mathematics, University of Alberta, Edmonton, Canada
b Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada
c Centro de Altos Estudios en Ciencia Exactas, Buenos Aires, Argentina
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Abstract: We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i. e., $\ell \times \ell$-matrices over a quantum torus $\mathcal{Q}$ whose trace lies in the commutator space of $\mathcal{Q}$. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.
Key words and phrases: extended affine Lie algebras, Lie torus, Cartan subalgebras, quantum torus, special linear Lie algebra.
Funding agency Grant number
Canada Research Chair
Natural Sciences and Engineering Research Council of Canada (NSERC)
Consejo Nacional de Investigaciones Cientificas y Tecnicas
V. Chernousov was partially supported by the Canada Research Chairs Program and an NSERC research grant. E. Neher was partially supported by a Discovery grant from NSERC. A. Pianzola wishes to thank NSERC and CONICET for their continuous support.
Received: 03.04.2017
Revised: 01.07.2017
English version:
Transactions of the Moscow Mathematical Society, 2017, Volume 78, Pages 235–256
DOI: https://doi.org/10.1090/mosc/271
Bibliographic databases:
Document Type: Article
UDC: 512.554.32, 512.554.37, 512.552.16
MSC: Primary 17B67; Secondary 16S36, 17B40
Language: English
Citation: V. Chernousov, E. Neher, A. Pianzola, “Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core”, Tr. Mosk. Mat. Obs., 78, no. 2, MCCME, M., 2017, 283–309; Trans. Moscow Math. Soc., 78 (2017), 235–256
Citation in format AMSBIB
\Bibitem{CheNehPia17}
\by V.~Chernousov, E.~Neher, A.~Pianzola
\paper Conjugacy of Cartan subalgebras in EALAs with a~non-fgc
centreless~core
\serial Tr. Mosk. Mat. Obs.
\yr 2017
\vol 78
\issue 2
\pages 283--309
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo601}
\elib{https://elibrary.ru/item.asp?id=37045067}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2017
\vol 78
\pages 235--256
\crossref{https://doi.org/10.1090/mosc/271}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85037646927}
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    • This publication is cited in the following 1 articles:
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