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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 2, Pages 284–306
DOI: https://doi.org/10.4213/tmf9305 (Mi tmf9305) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Generalized Weyl modules for twisted current algebras

E. A. Makedonskiiab, E. B. Feiginac

a National Research University "Higher School of Economics", Moscow, Russia
b Max Planck Institute for Mathematics, Bonn, Germany
c Skolkovo Institute of Science and Technology, Moscow, Russia
Full-text PDF (573 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9305
Abstract: We introduce the notion of generalized Weyl modules for twisted current algebras. We study their representation-theoretic and combinatorial properties and also their connection with nonsymmetric Macdonald polynomials. As an application, we compute the dimension of the classical Weyl modules in the remaining unknown case.
Keywords: Weyl module, affine algebra.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5--100
Russian Science Foundation 16-41-01013
This research was supported by the Russian Academic Excellence Project 5-100, and the research reported in Secs. 1, 2, and 3 was supported by the RSF-DFG (Grant No. 16-41-01013).
Received: 24.11.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 2, Pages 1184–1204
DOI: https://doi.org/10.1134/S0040577917080086
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Makedonskii, E. B. Feigin, “Generalized Weyl modules for twisted current algebras”, TMF, 192:2 (2017), 284–306; Theoret. and Math. Phys., 192:2 (2017), 1184–1204
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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