Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra.

In this paper, we construct the Heisenberg–Virasoro algebra in the framework of the R (p , q) -deformed quantum algebras. Moreover, the R (p , q) -Heisenberg–Witt n-algebras is also investigated. Furthermore, we generalize the notion of the elliptic Hermitian matrix models. We use the constraints to evaluate the R (p , q) -differential operators of the Virasoro algebra and generalize it to higher order differential operators. Particular cases corresponding to quantum algebras existing in the literature are deduced. [ABSTRACT FROM AUTHOR]