Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations
From MaRDI portal
Publication:3497244
DOI10.1063/1.528776zbMath0712.17025OpenAlexW4244885183MaRDI QIDQ3497244
Neli I. Stoilova, Tchavdar D. Palev
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528776
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70) Graded Lie (super)algebras (17B70)
Related Items (13)
On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Representations of centrally extended Lie superalgebra $\mathfrak {psl}(2|2)$psl(2|2) ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Finite-dimensional representations of the quantum superalgebra U q[gl(2/2). I. Typical representations at generic q] ⋮ Drinfeld realization of the centrally extended psl(2|2) Yangian algebra with the manifest coproducts ⋮ The Hopf superalgebra of AdS/CFT ⋮ Finite-dimensional representations of the quantum superalgebra Uq[gl(2/2). II. Nontypical representations at generic q] ⋮ On Yangian and long representations of the centrally extended \( \mathfrak{s}\mathfrak{u}\left( {\left. 2 \right|2} \right) \) superalgebra ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n) ⋮ Induced representations of the two parametric quantum deformation Upq[gl(2/2)] ⋮ A unified and complete construction of all finite dimensional irreducible representations of gl(2∣2) ⋮ Kac modules of sl (2/2) and the extended Kac‐Weyl formulas ⋮ The analytic Bethe ansatz for a chain with centrally extended symmetry
Cites Work
- Supergroups and superalgebras in physics
- Irreducible finite-dimensional representations of Lie superalgebras gl(n,1) in the Gel'fand-Tsetlin basis
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- On the structure of Hopf algebras
- Polynomial identities for simple Lie superalgebras
- Regular subalgebras of Lie superalgebras and extended Dynkin diagrams
- Irreducible representations of SU(m/n)
- A unified description of the representations of the graded Lie algebra Gsl(2)
- Kac–Dynkin diagrams and supertableaux
- Mixed supertableaux of the superunitary groups. II. SU(n‖m)
- Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typical representations
- Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
- The representations of spl(2,1)—an example of representations of basic superalgebras
- Representations of Osp(2, 1) and the metaplectic representation
- Branching rules for the supergroup SU(N/M) from those of SU(N+M)
- Semisimple graded Lie algebras
- Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
- Highest weight representations for gl(m/n) and gl(m+n)
- Representations of Lie superalgebras
This page was built for publication: Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations
