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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 3, Pages 474–491
DOI: https://doi.org/10.4213/tmf510 (Mi tmf510) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations

A. M. Semikhatova, A. Taorminab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b University of Durham
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DOI: https://doi.org/10.4213/tmf510
Abstract: We propose new formulas for singular vectors in Verma modules over the affine Lie superalgebra $\widehat{s\ell}(2|1)$. We analyze the coexistence of singular vectors of different types and identify the twisted modules arising as submodules and quotient modules of $\widehat{s\ell}(2|1)$ Verma modules. We show that with the twists (spectral flow transformations) properly taken into account, a resolution of irreducible representations can be constructed consisting of only the $\mathscr N_{h,k;\theta}^\pm$ modules.
Received: 20.04.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 3, Pages 1236–1251
DOI: https://doi.org/10.1023/A:1012316020704
Bibliographic databases:
Language: Russian
Citation: A. M. Semikhatov, A. Taormina, “Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations”, TMF, 128:3 (2001), 474–491; Theoret. and Math. Phys., 128:3 (2001), 1236–1251
Citation in format AMSBIB
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\paper Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations
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\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 128
\issue 3
\pages 1236--1251
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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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