Super-jordanian deformation of the orthosymplectic Lie superalgebras
Petr Petrovich Kulish
Abstract
Open-access reader
Petr Petrovich Kulish
Abstract
Open-access reader
The recently proposed jordanian quantization of the Lie superalgebra $osp(1|2)$ due to the embedding $sl(2) \subset osp(1|2)$, is extended including odd generators into the twisting element $\cal F$. This deformation is obtained as a contraction of the quantum superalgebra ${\cal U}_{q}(osp(1|2))$.
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The recently proposed jordanian quantization of the Lie superalgebra $osp(1|2)$ due to the embedding $sl(2) \subset osp(1|2)$, is extended including odd generators into the twisting element $\cal F$. This deformation is obtained as a contraction of the quantum superalgebra ${\cal U}_{q}(osp(1|2))$.
Key concepts: Lie superalgebra, Embedding, Supermatrix, Superalgebra, Mathematics, Pure mathematics, Deformation (meteorology), Quantization (signal processing)