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Transactions of the American Mathematical Society

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Irreducible representations of the exceptional Cheng-Kac superalgebra


Authors: Consuelo Martínez and Efim Zelmanov
Journal: Trans. Amer. Math. Soc. 366 (2014), 5853-5876
MSC (2010): Primary 17C70; Secondary 17C55, 17B10, 17B60
DOI: https://doi.org/10.1090/S0002-9947-2014-06066-2
Published electronically: July 16, 2014
MathSciNet review: 3256186
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Abstract: We classify all conformal irreducible modules of finite type over the Cheng-Kac superalgebra $ CK_6$.


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Additional Information

Consuelo Martínez
Affiliation: Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo s/n, 33007 Oviedo, Spain
Email: cmartinez@uniovi.es

Efim Zelmanov
Affiliation: Department of Mathematics, University of California San Diego, La Jolla, California 92093-0112 – and – Korean Institute of Advaced Study, Seoul, South Korea – and – King Abdulaziz, Jeddah, Saudi Arabia
Email: ezelmano@maths.ucsd.edu

DOI: https://doi.org/10.1090/S0002-9947-2014-06066-2
Received by editor(s): August 3, 2012
Received by editor(s) in revised form: December 7, 2012
Published electronically: July 16, 2014
Additional Notes: The first author was partially supported by MTM 2010-67884-C04-01
The second author was partially supported by the NSF
Dedicated: To the memory of our dear friend Hyo Chul Myung
Article copyright: © Copyright 2014 American Mathematical Society

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