q-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations

Details q-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations q-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations

2002-03-19

arxiv.org/abs/math/0203201v1

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.

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