Enrico Celeghini and Petr P Kulish 2004 J. Phys. A: Math. Gen. 37 L211 doi:10.1088/0305-4470/37/20/L01
Deformation of orthosymplectic Lie superalgebra osp(1|4)
FREE ARTICLEEnrico Celeghini1 and Petr P Kulish2
Show affiliationsLETTER TO THE EDITOR
Triangular deformation of the orthosymplectic Lie superalgebra osp(1
4) is defined by chains of twists. The corresponding classical r-matrix is obtained by a contraction procedure from the trigonometric r-matrix. The carrier space of the constant r-matrix and the twist element is the Borel subalgebra. The known super-Jordanian twist of osp(12) is generalized as an extended twist to the orthosymplectic Lie superalgebras of higher rank. The dimension of the cobracket kernel is related to the number of generators with primitive twisted coproduct of the deformed algebra.
- PACS
- MSC
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17B66 Lie algebras of vector fields and related (super) algebras
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
- Subjects
- Dates
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Issue 20 (21 May 2004)
Received 21 January 2004, in final form 6 April 2004
Published 5 May 2004
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Deformation of orthosymplectic Lie superalgebra osp(1|4)
Enrico Celeghini and Petr P Kulish 2004 J. Phys. A: Math. Gen. 37 L211
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