On a new relation between semisimple Lie algebras

DOI10.1063/1.524689zbMath0448.17010OpenAlexW2083146752MaRDI QIDQ3894079

R. T. Sharp, Richard Slansky, Jirí Patera

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524689

zbMATH Keywords

subjoinings

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\) ⋮ Characters of Elements of Finite Order in Lie Groups ⋮ The charges of a twisted brane ⋮ Gaussian cubature arising from hybrid characters of simple Lie groups ⋮ Affine reflection groups for tiling applications: Knot theory and DNA ⋮ On the triangle anomaly number of SU(n) representations ⋮ Second and fourth indices of plethysms ⋮ Generating functions for G2 characters and subgroup branching rules ⋮ Discrete and continuous cosine transform generalized to Lie groups SU(2)×SU(2) and O(5)

Cites Work

• The maximal subgroups of the classical groups
• Semisimple subalgebras of semisimple Lie algebras
• Generating functions for plethysms of finite and continuous groups
• Congruence number, a generalization of SU(3) triality
• Higher indices of group representations

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