Application of generating function techniques to Lie superalgebras
DOI10.1063/1.526546zbMath0603.17002OpenAlexW1967752753MaRDI QIDQ3739316
J. W. B. Hughes, R. T. Sharp, Joris Van der Jeugt
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526546
generating functionsLie superalgebrasbranching rulessymplecticmultiplicities of irreducible representationsorthosymplecticatypical representationsosp(3,2)typical representationsosp(1,2), spl(1,2),osp(4,2)polynomial tensors
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70)
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Cites Work
- Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras
- Irreducible representations of SU(m/n)
- The maximal subgroups of the classical groups
- Degenerate enveloping algebras of SU(3), SO(5), G2and SU(4)
- Generating functions for IR multiplicities
- Representations of low-rank orthosymplectic superalgebras by superfield techniques
- Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
- Irreducible representations of the exceptional Lie superalgebras D(2,1;α)
- Reduction of enveloping algebras of low-rank groups
- The tensor product of two irreducible representations of the spl(2,1) superalgebra
- The representations of spl(2,1)âan example of representations of basic superalgebras
- Representations of Osp(2, 1) and the metaplectic representation
- Irreducible representations of the superalgebras type II
- Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
- Generating functions for polynomial irreducible tensors
- Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
- Lie Group Representations on Polynomial Rings
- Lie superalgebras
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