Casimir eigenvalues for universal Lie algebra
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Publication:2872286
DOI10.1063/1.4757763zbMath1331.17007arXiv1105.0115OpenAlexW3103796500WikidataQ115333313 ScholiaQ115333313MaRDI QIDQ2872286
Alexander Sergeev, R. L. Mkrtchyan, Alexander P. Veselov
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0115
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Cites Work
- Unnamed Item
- Universality in Chern-Simons theory
- Triality, exceptional Lie algebras and Deligne dimension formulas.
- A universal dimension formula for complex simple Lie algebras
- On duality and negative dimensions in the theory of Lie groups and symmetric spaces
- Casimir invariants and vector operators in simple and classical Lie algebras
- S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
- CASIMIR OPERATORS FOR SEMISIMPLE LIE GROUPS
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