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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2015 Volume 11, 017, 21 pp. (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

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.

MSC: 17Bxx; 18D35; 18D10; 18E05

Received: September 30, 2014; in final form February 20, 2015; Published online February 26, 2015

Language: English

DOI: 10.3842/SIGMA.2015.017



Bibliographic databases:
ArXiv: 1502.07441

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