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Izvestiya: Mathematics, 1998, Volume 62, Issue 3, Pages 627–648
DOI: https://doi.org/10.1070/im1998v062n03ABEH000199 (Mi im199) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The intermediate orthogonal Lie algebra $\mathfrak b_{n-1/2}$ and its finite-dimensional representations

V. V. Shtepin
English version PDF (269 kB) Citations (5)
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DOI: https://doi.org/10.1070/im1998v062n03ABEH000199
Abstract: We suggest a method for separating multiple points of the spectrum in the reduction $B_n\downarrow B_{n-1}$ by introducing a non-semisimple intermediate subalgebra. We study the category of modules over this intermediate subalgebra that play the role of modules with highest weight.
Received: 19.08.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 3, Pages 201–223
DOI: https://doi.org/10.4213/im199
Bibliographic databases:
MSC: 17B10, 17B15
Language: English
Original paper language: Russian
Citation: V. V. Shtepin, “The intermediate orthogonal Lie algebra $\mathfrak b_{n-1/2}$ and its finite-dimensional representations”, Izv. RAN. Ser. Mat., 62:3 (1998), 201–223; Izv. Math., 62:3 (1998), 627–648
Citation in format AMSBIB
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\paper The intermediate orthogonal Lie algebra $\mathfrak b_{n-1/2}$ and its finite-dimensional representations
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\pages 201--223
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\jour Izv. Math.
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  • https://doi.org/10.1070/im1998v062n03ABEH000199
  • https://www.mathnet.ru/eng/im/v62/i3/p201
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:348
    Russian version PDF:223
    English version PDF:15
    References:39
    First page:1
     
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