General indices of representations and Casimir invariants
From MaRDI portal
Publication:3324124
DOI10.1063/1.526143zbMath0538.17004OpenAlexW2012466363MaRDI QIDQ3324124
No author found.
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526143
tensor productbranching rulessimple Lie algebrafinite dimensional representationfifth-order Casimir invariantspolynomial index sum rules
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Simple, semisimple, reductive (super)algebras (17B20)
Related Items
Kac–Moody and new infinite-dimensional Lie algebras, Flops of any \textit{length}, Gopakumar-Vafa invariants and 5d Higgs branches, Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields, 5d Higgs branches from M-theory on quasi-homogeneous cDV threefold singularities, An explicit construction of Casimir operators and eigenvalues. I, Rational terms in theories with matter, Indices of representations of simple superalgebras, Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations, Invariant tensors and Casimir operators for simple compact Lie groups, Iwasawa nilpotency degree of non compact symmetric cosets in \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} $\end{document}-extended supergravity, Invariant tensors for simple groups, Branching index sum rules for simple Lie algebras
Cites Work
- Modified fourth-order Casimir invariants and indices for simple Lie algebras
- Semisimple subalgebras of semisimple Lie algebras
- General indices of simple Lie algebras and symmetrized product representations
- Congruence number, a generalization of SU(3) triality
- Casimir operators for F4, E6, E7, and E8
- On the triangle anomaly number of SU(n) representations
- Second and fourth indices of plethysms
- Fast recursion formula for weight multiplicities
- Reduction of tensor products with definite permutation symmetry: Embeddings of irreducible representations of Lie groups into fundamental representations of SU(M) and branchings
- Higher indices of group representations
- A new approach to the eigenvalues of the Gel’fand invariants for the unitary, orthogonal, and symplectic groups
- Casimir invariants and vector operators in simple and classical Lie algebras
- Quartic trace identity for exceptional Lie algebras
- Spinors in Negative Dimensions
- On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
- Unitary Groups: Representations and Decompositions
