A. Sciarrino, DEFORMATION OF LIE-ALGEBRAS IN A NON-CHEVALLEY BASIS AND EMBEDDING OFQ-ALGEBRAS, Journal of physics. A, mathematical and general, 27(22), 1994, pp. 7403-7418
A deformation scheme for Lie algebras in a basis which manifestly exhi
bits for q = 1 the content of a singular subalgebra is presented. This
scheme allows to build up 'embedding' chains of q-algebras which can
be physically interesting. In the present paper the case when the rank
of the subalgebra is one unit less than the rank of the algebra is st
udied and explicit constructions of the algebras are given in terms of
q-bosonic and/or q-fermionic oscillators.