id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1872	Smirnov, Yuri F.; Turbiner, Alexander	gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS	2013	8	.pdf	application/pdf	5821	324	71	+M22, E12 = x1∂2 +M12, E21 = x2∂1 +M21, E0 = k − x1∂1 − x2∂2, T− 1 = ∂1, T− 2 = ∂2, T+ 1 = x1(k − x1∂1 − x2∂2)− x1M11 − x2M12, T+ 2 = x2(k − x1∂1 − x2∂2)− x1M21 − x2M22. We also can call it a scalar representation, since the generators E11 = x1∂1, E22 = x2∂2, E12 = x1∂2, E21 = x2∂1, E0 = k − x1∂1 − x2∂2, T− 1 = ∂1, T− 2 = ∂2, T+ 1 = x1(k − x1∂1 − x2∂2), T+ 2 = x2(k − x1∂1 − x2∂2), (12) act on one-component spinors or, in other words, on scalar functions (see e.g. [5]).	cache/ap-1872.pdf	txt/ap-1872.txt