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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 3, Pages 334–356
DOI: https://doi.org/10.4213/tmf571 (Mi tmf571) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Universal Verma modules and W-resolvents over Kač–Moody algebras

D. P. Zhelobenko

Peoples Friendship University of Russia
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DOI: https://doi.org/10.4213/tmf571
Abstract: We consider new aspects of extremal equations over symmetrizable Kač–Moody algebras. We develop new methods (reproducing classical finite-dimensional results) that can be applied to infinite-dimensional (affine) Lie algebras. We describe special extensions of universal enveloping algebras, investigate the fine structure of W-resolvents, and use these methods to investigate “extremal projectors” over Kač–Moody algebras.
Received: 10.06.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 3, Pages 278–297
DOI: https://doi.org/10.1007/BF02551242
Bibliographic databases:
Language: Russian
Citation: D. P. Zhelobenko, “Universal Verma modules and W-resolvents over Kač–Moody algebras”, TMF, 122:3 (2000), 334–356; Theoret. and Math. Phys., 122:3 (2000), 278–297
Citation in format AMSBIB
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\paper Universal Verma modules and $W$-resolvents over Ka\v c--Moody algebras
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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1007/BF02551242}
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  • https://doi.org/10.4213/tmf571
  • https://www.mathnet.ru/eng/tmf/v122/i3/p334
    • This publication is cited in the following 1 articles:
    1. Iain Gordon, Alexander Premet, “Block representation type of reduced enveloping algebras”, Trans. Amer. Math. Soc., 354:4 (2001), 1549  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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