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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 3, Pages 27–49
DOI: https://doi.org/10.4213/faa2995 (Mi faa2995) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Diagonal Reduction Algebras of $\mathfrak{gl}$ Type

O. V. Ogievetskiiab, S. M. Khoroshkinc

a Physical Institute, Russian Academy of Sciences
b Centre de Physique Théorique, Marseille
c Institute for Theoretical and Experimental Physics
Full-text PDF (352 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa2995
Abstract: Several general questions concerning a reduction algebra, namely, rings of definition and the algorithmic efficiency of the set of ordering relations, are discussed. For reduction algebras related to the diagonal embedding of the Lie algebra $\mathfrak{gl}_n$ into $\mathfrak{gl}_n\oplus\mathfrak{gl}_n$, a stabilization phenomenon is established and a complete set of defining relations is given.
Keywords: reduction algebra, extremal projector, ordering relations.
Received: 29.06.2009
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 3, Pages 182–198
DOI: https://doi.org/10.1007/s10688-010-0023-0
Bibliographic databases:
Document Type: Article
UDC: 514.12+517.986
Language: Russian
Citation: O. V. Ogievetskii, S. M. Khoroshkin, “Diagonal Reduction Algebras of $\mathfrak{gl}$ Type”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 27–49; Funct. Anal. Appl., 44:3 (2010), 182–198
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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