Classification and construction of finite dimensional irreducible representations of the graded algebras; application to the (Sp(2n); 2n) algebra

DOI10.1063/1.524085zbMath0413.17010OpenAlexW2003636952MaRDI QIDQ4200215

Miroslav Bednar, Vladimír Šachl

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524085

zbMATH Keywords

graded Lie algebrasirreducible representationsfinite-dimensional representationsmesonsirreducible tensorselementary particle physicsbaryons

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Other elementary particle theory in quantum theory (81V25) Graded Lie (super)algebras (17B70)

Related Items (5)

Boson–fermion representations of Lie superalgebras: The example of osp(1,2) ⋮ Fock space representations of the Lie superalgebra A(0,n) ⋮ Infinite-dimensional representations of the graded Lie algebra (Sp(4):4). Representation of the para-Bose operators with real order of quantization ⋮ Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis. I. Typical representations ⋮ On the SU2 unit tensor

Cites Work

• A sketch of Lie superalgebra theory
• Fourth degree Casimir operator of the semisimple graded Lie algebra (Sp(2N); 2N)
• Semisimple graded Lie algebras
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
• Eigenvalues of the Casimir operators of the orthogonal and symplectic groups
• Graded Lie algebras: Generalization of Hermitian representations
• Simple supersymmetries

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