Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 136, Pages 3–30 (Mi into197)  
This article is cited in 1 scientific paper (total in 1 paper)

PBW degeneration: algebra, geometry, and combinatorics

E. B. Feigin

National Research University "Higher School of Economics" (HSE), Moscow
Full-text PDF (387 kB) Citations (1)
Abstract: We review the recent progress in the theory of Poincaré–Birkhoff–Witt degenerations of irreducible representations of simple Lie algebras. We describe algebraic, geometric, and combinatorial aspects of the theory.
Keywords: Lie algebras, flag varieties, PBW degeneration.
Funding agency Grant number
Russian Science Foundation 16-41-01013
Deutsche Forschungsgemeinschaft 16-41-01013
This work was supported by the grant RSF-DFG 16-41-01013.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 235, Issue 6, Pages 685–713
DOI: https://doi.org/10.1007/s10958-018-4089-1
Bibliographic databases:
Document Type: Article
UDC: 512.815.1
MSC: 17B10
Language: Russian
Citation: E. B. Feigin, “PBW degeneration: algebra, geometry, and combinatorics”, Proceedings of the Seminar on algebra and geometry of the Samara University, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 136, VINITI, Moscow, 2017, 3–30; J. Math. Sci. (N. Y.), 235:6 (2018), 685–713
Citation in format AMSBIB
\Bibitem{Fei17}
\by E.~B.~Feigin
\paper PBW degeneration: algebra, geometry, and combinatorics
\inbook Proceedings of the Seminar on algebra and geometry of the Samara University
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 136
\pages 3--30
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3808185}
\zmath{https://zbmath.org/?q=an:07001311}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 235
\issue 6
\pages 685--713
\crossref{https://doi.org/10.1007/s10958-018-4089-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85055742282}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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