Mathematics – Quantum Algebra
Scientific paper
2002-03-19
Lett.Math.Phys. 21 (1991) 215-220
Mathematics
Quantum Algebra
Latex, 5 pages; an old paper (1991) posted for archival purposes
Scientific paper
Deformed orthogonal and pseudo-orthogonal Lie algebras are constructed which
differ from deformations of Lie algebras in terms of Cartan subalgebra and root
vectors and which make it possible to construct representations by operators
acting according to Gel'fand--Tsetlin-type formulas. Unitary representations of
the q-deformed algebras U_q(so_{n,1}) are found.
Gavrilik Alexandre M.
Klimyk Anatoliy U.
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