Bound for the cocharacters of the identities of irreducible representations of $\mathfrak{sl}_2(\mathbb{C})$

DOI10.55730/1300-0098.3230OpenAlexW4200631101MaRDI QIDQ5103887

Matyas Domokos

Publication date: 9 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06870

zbMATH Keywords

irreducible representationsimple Lie algebracocharacter sequenceweak polynomial identities

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Trace rings and invariant theory (associative rings and algebras) (16R30) Simple, semisimple, reductive (super)algebras (17B20) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Applications of hook Young diagrams to P.I. algebras
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• Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices
• Weak polynomial identities and their applications
• Codimensions of polynomial identities of representations of Lie algebras
• ON A PROBLEM OF KAPLANSKY
• Codimension growth for weak polynomial identities, and non-integrality of the PI exponent

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