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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 3, Pages 397–419
DOI: https://doi.org/10.1070/IM1994v043n03ABEH001572 (Mi im823) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The algebra of quantum bosons, theb Shubert filtration, and Lusztig bases

D. P. Zhelobenko

Peoples Friendship University of Russia
English version PDF (1170 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1994v043n03ABEH001572
Abstract: The “Schubert filtration”, defined by means of the quantum Weyl group, is considered in Drinfel'd–Jimbo quantum algebras. A description is obtained for this filtration in terms of linear relations determined by the algebra of “quantum bosons”, and also in terms of certain projection operators. The connection between this filtration and Lusztig bases and Kashiwara crystal bases is considered.
Received: 15.05.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 6, Pages 3–28
Bibliographic databases:
UDC: 519.46
MSC: Primary 17B35, 17B37, 17B20; Secondary 17B67, 81R50, 81R10
Language: English
Original paper language: Russian
Citation: D. P. Zhelobenko, “The algebra of quantum bosons, theb Shubert filtration, and Lusztig bases”, Izv. RAN. Ser. Mat., 57:6 (1993), 3–28; Russian Acad. Sci. Izv. Math., 43:3 (1994), 397–419
Citation in format AMSBIB
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\pages 3--28
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 3
\pages 397--419
\crossref{https://doi.org/10.1070/IM1994v043n03ABEH001572}
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  • https://www.mathnet.ru/eng/im/v57/i6/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:412
    Russian version PDF:155
    English version PDF:18
    References:59
    First page:2
     
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