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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 218–228
DOI: https://doi.org/10.4213/tmf6723 (Mi tmf6723) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Recursive properties of branching and BGG resolution

V. D. Lyakhovsky, A. A. Nazarov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (491 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6723
Abstract: Recurrence relations for branching coefficients are based on a certain decomposition of the singular element. We show that this decomposition can be used to construct parabolic Verma modules and to obtain the generalized Weyl–Verma formulas for characters. We also demonstrate that the branching coefficients determine the generalized Bernstein–Gelfand–Gelfand resolution.
Keywords: Lie algebra representation, branching rule, Bernstein–Gelfand–Gelfand resolution.
Received: 19.11.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1551–1560
DOI: https://doi.org/10.1007/s11232-011-0132-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Lyakhovsky, A. A. Nazarov, “Recursive properties of branching and BGG resolution”, TMF, 169:2 (2011), 218–228; Theoret. and Math. Phys., 169:2 (2011), 1551–1560
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6723
  • https://doi.org/10.4213/tmf6723
  • https://www.mathnet.ru/eng/tmf/v169/i2/p218
    • This publication is cited in the following 1 articles:
    1. Nazarov A., “Affine.m—Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras”, Comput. Phys. Commun., 183:11 (2012), 2480–2493  crossref  zmath  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:489
    Full-text PDF :210
    References:73
    First page:9
     
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