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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1128–1149 (Mi smj2482)  
This article is cited in 4 scientific papers (total in 4 papers)

Lie algebras in symmetric monoidal categories

D. A. Rumynin

Department of Mathematics, University of Warwick, Coventry, CV4 7AL, UK
Full-text PDF (475 kB) Citations (4)
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Abstract: We study the algebras that are defined by identities in the symmetric monoidal categories; in particular, the Lie algebras. Some examples of these algebras appear in studying the knot invariants and the Rozansky–Witten invariants. The main result is the proof of the Westbury conjecture for a K3-surface: there exists a homomorphism from a universal simple Vogel algebra into a Lie algebra that describes the Rozansky–Witten invariants of a K3-surface. We construct a language that is necessary for discussing and solving this problem, and we formulate nine new problems.
Keywords: tensor category, Lie algebra, K3-surface, Rozansky–Witten invariants.
Received: 16.05.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 5, Pages 905–921
DOI: https://doi.org/10.1134/S0037446613050145
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: D. A. Rumynin, “Lie algebras in symmetric monoidal categories”, Sibirsk. Mat. Zh., 54:5 (2013), 1128–1149; Siberian Math. J., 54:5 (2013), 905–921
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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