$g{l}_{n+1}$ algebra of Matrix Differential Operators and Matrix Quasi-exactly-solvable Problems

Yu. F. Smirnov, A. V. Turbiner

The generators of the algebra $g{l}_{n+1}$ in a form of differential operators of the first order acting on ${\mathbf{R}}^n$ with matrix coefficients are explicitly written. The algebraic…