Frobenius-Schur indicators for semisimple Lie algebras

DOI10.1016/j.jalgebra.2007.06.003zbMath1140.17005arXiv0704.0165OpenAlexW2006341686WikidataQ115351439 ScholiaQ115351439MaRDI QIDQ2456179

Shlomo Gelaki, Mohammad Abu Hamed

Publication date: 17 October 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0165

zbMATH Keywords

irreducible representationFrobenius-Schur indicatorweight spacecomplex semisimple Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Examples of non-$FSZ$ $p$-groups for primes greater than three ⋮ Lattices, vertex algebras, and modular categories

Cites Work

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• Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras.
• Semisimple subalgebras of semisimple Lie algebras
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• S 4 symmetry of 6j symbols and Frobenius–Schur indicators in rigid monoidal C* categories
• Central invariants and higher indicators for semisimple quasi-Hopf algebras
• On higher Frobenius-Schur indicators
• Introduction to Lie Algebras and Representation Theory
• A Frobenius-Schur theorem for Hopf algebras

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