Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 29–34
DOI: https://doi.org/10.31857/S2686954320010099 (Mi danma28) 		 
MATHEMATICS

On the action of the restricted Weyl group on the set of orbits a minimal parabolic subgroup

V. S. Zhgoonab, F. Knopc

a Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow, Russian Federation
b National Research University "Higher School of Economics", Moscow, Russian Federation
c Friedrich Alexander University, Erlangen–Nurnberg, Germany
Full-text PDF (312 kB)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320010099
Abstract: We construct the action of the restricted Weyl group on the set of principal families of orbits of a minimal parabolic subgroup over an algebraically nonclosed field. Additionally, we relate this action to the action on a polarized cotangent bundle. These results generalize the corresponding results of Knop on the action of the Weyl group on the families of Borel orbits of maximal complexity and rank.
Keywords: reductive group actions over algebraically nonclosed fields, Weyl group, orbits of minimal parabolic subgroup, cotangent bundle.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0065-2018-0019
The work by V.S. Zhgoon was supported by the project “Study of Group Algebraic Varieties and Their Relations to Algebra, Geometry, and Number Theory”, project no. 0065-2018-0019. This study was also supported by the Russian Academic Excellence Project “5-100” for the state support of leading universities of the Russian Federation.
Presented: V. P. Platonov
Received: 16.10.2019
Revised: 16.10.2019
Accepted: 23.10.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 25–29
DOI: https://doi.org/10.1134/S1064562420010093
Bibliographic databases:
Document Type: Article
UDC: 512.745.2
Language: Russian
Citation: V. S. Zhgoon, F. Knop, “On the action of the restricted Weyl group on the set of orbits a minimal parabolic subgroup”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 29–34; Dokl. Math., 101:1 (2020), 25–29
Citation in format AMSBIB
\Bibitem{ZhgKno20}
\by V.~S.~Zhgoon, F.~Knop
\paper On the action of the restricted Weyl group on the set of orbits a minimal parabolic subgroup
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 490
\pages 29--34
\mathnet{http://mi.mathnet.ru/danma28}
\crossref{https://doi.org/10.31857/S2686954320010099}
\zmath{https://zbmath.org/?q=an:07424544}
\elib{https://elibrary.ru/item.asp?id=42579054}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 1
\pages 25--29
\crossref{https://doi.org/10.1134/S1064562420010093}
Linking options:
  • https://www.mathnet.ru/eng/danma28
  • https://www.mathnet.ru/eng/danma/v490/p29
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:90
    Full-text PDF :40
    References:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024