The tensor product of two irreducible representations of the spl(2,1) superalgebra

DOI10.1063/1.524577zbMath0445.17004OpenAlexW2084875219MaRDI QIDQ3889236

Mihail Marcu

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524577

zbMATH Keywords

tensor products of representationsClebsch-Gordan seriesspecial linear Lie superalgebras

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

N = 2 SUPERCONFORMAL FIELD THEORY ON THE BASIS OF osp(2|2), Congruence classes of finite representations of simple Lie superalgebra, Representation theory of \(\mathfrak{sl}(2|1)\), Application of generating function techniques to Lie superalgebras, Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain, Superconformal operators in Yang-Mills theories on the light-cone, Non-unitary conformal field theory and logarithmic operators for disordered systems, Coherent state construction of representations of \(\mathrm{osp}(2| 2)\) and primary fields of \(\mathrm{osp}(2| 2)\) conformal field theory., A unified and complete construction of all finite dimensional irreducible representations of gl(2∣2), Lie superalgebras, Quantum field theory on a discrete space and noncommutative geometry, Heisenberg spin chains based on \(\text{sl}(2|1)\) symmetry, Universal \(R\)-matrix as integral operator, Logarithmic minimal models, The BaxterQ-operator for the gradedSL(2|1) spin chain, Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)

Cites Work

• The representations of spl(2,1)—an example of representations of basic superalgebras
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Characters of typical representations of classical lie superalgebras