Ghost center and representations of the diagonal reduction algebra of \(\mathfrak{osp}(1 | 2)\)
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Publication:2696137
DOI10.1016/j.geomphys.2023.104788OpenAlexW4321768860MaRDI QIDQ2696137
Jonas T. Hartwig, Dwight Anderson Williams II
Publication date: 6 April 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.08068
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70)
Cites Work
- Representation rings of Lie superalgebras
- The enveloping algebra of the Lie superalgebra \(\mathfrak{osp}(1,2)\)
- On Casimir's ghost
- The minimal primitive spectrum of the enveloping algebra of the Lie superalgebra \(\text{osp}(1,2l)\).
- On the ghost centre of Lie superalgebras.
- Dynamical Weyl groups and applications
- Diagonal reduction algebra and the reflection equation
- Contravariant form for reduction algebras
- Step algebras of semi-simple subalgebras of Lie algebras
- Projection operators for simple Lie groups. II: General scheme for constructing lowering operators. The groups \(\mathrm{SU}(n)\)
- Mickelsson algebras and Zhelobenko operators.
- Extremal projector and dynamical twist
- Representations of centrally extended Lie superalgebra $\mathfrak {psl}(2|2)$psl(2|2)
- Generating functions for the ${\mathfrak{osp}}(1| 2)$ Clebsch–Gordan coefficients
- Extremal projections for reductive classical Lie superalgebras with a non-degenerate generalized Killing form
- Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
- A remark on the Casimir elements of Lie superalgebras and quantized Lie superalgebras
- Lie superalgebras
- Diagonal reduction algebra for $\mathfrak{osp}(1|2)$
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