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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 513, Pages 120–138 (Mi znsl7233)  
This article is cited in 1 scientific paper (total in 1 paper)

Reverse decomposition of unipotents in polyvector representations

R. Lubkov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (592 kB) Citations (1) English version article
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Abstract: The present paper continues the series of papers devoted to the method of decomposition of unipotents and its numerous variations. For exterior square of the general linear group, which is a key particular case of exterior powers, the question of the reverse decomposition of unipotents was considered by the author (2021). A generalization of the obtained results to an arbitrary exterior power is discussed.
Key words and phrases: general linear group, elementary group,fundamental representation, decomposition of unipotents, reverse decomposition of unipotents.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90072
Received: 24.08.2021
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 3, Pages 350–361
DOI: https://doi.org/10.1007/s10958-025-07703-6
Bibliographic databases:
Document Type: Article
UDC: 512.5, 512.743.7
Language: Russian
Citation: R. Lubkov, “Reverse decomposition of unipotents in polyvector representations”, Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, POMI, St. Petersburg, 2022, 120–138; J. Math. Sci. (N. Y.), 288:3 (2025), 350–361
Citation in format AMSBIB
\Bibitem{Lub22}
\by R.~Lubkov
\paper Reverse decomposition of unipotents in polyvector representations
\inbook Problems in the theory of representations of algebras and groups. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 513
\pages 120--138
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7233}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4508375}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 3
\pages 350--361
\crossref{https://doi.org/10.1007/s10958-025-07703-6}
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  • https://www.mathnet.ru/eng/znsl/v513/p120
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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