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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 017, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.017 (Mi sigma998) 		 
On the Killing form of Lie Algebras in Symmetric Ribbon Categories

Igor Buchberger, Jürgen Fuchs

Teoretisk fysik, Karlstads Universitet, Universitetsgatan 21, S–65188 Karlstad, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2015.017
Abstract: As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories.
Keywords: Lie algebra; monoidal category; ribbon category; Killing form; Lie superalgebra.
Received: September 30, 2014; in final form February 20, 2015; Published online February 26, 2015
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Document Type: Article
MSC: 17Bxx; 18D35; 18D10; 18E05
Language: English
Citation: Igor Buchberger, Jürgen Fuchs, “On the Killing form of Lie Algebras in Symmetric Ribbon Categories”, SIGMA, 11 (2015), 017, 21 pp.
Citation in format AMSBIB
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