Browsing by Subject "irreducible representations"
Now showing items 1-4 of 4
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Models of q-algebra representations: Matrix elements of the q-oscillator algebra
(1993-11)This article continues a study of function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. Here a q analog of ... -
Models of q-algebra representations: q-integral transforms and "addition theorems''
(1994-04)In his classic book on group representations and special functions Vilenkin studied the matrix elements of irreducible representations of the Euclidean and oscillator Lie algebras with respect to countable bases of ... -
Models of q-algebra representations: Tensor products of special unitary and oscillator algebras
(1992-07)This paper begins a study of one- and two-variable function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. ... -
A projection-based solution to the SP(2N) state labeling problem
(1985-07)A projection-based solution to the symplectic group state labeling problem is presented. The approach yields a nonorthogonal Gel'fand–Tsetlin basis for the irreducible representations of Sp(2n). A method for evaluating the ...
