Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/into197
  • https://www.mathnet.ru/eng/into/v136/p3
    • 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
    Statistics & downloads:
    Abstract page:436
    Full-text PDF :130
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024