1306.1377 (Yu. F. Smirnov et al.)

$gl_{n+1}$ algebra of Matrix Differential Operators and Matrix
Quasi-exactly-solvable Problems    [PDF]

Yu. F. Smirnov, A. V. Turbiner

The generators of the algebra $gl_{n+1}$ in a form of differential operators of the first order acting on ${\bf R}^n$ with matrix coefficients are explicitly written. The algebraic Hamiltonians for a matrix generalization of $3-$body Calogero and Sutherland models are presented.

View original: http://arxiv.org/abs/1306.1377