id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-10666	Turbiner, Alexander V.	gl3 ALGEBRA IN MIXED MATRIX REPRESENTATIONS	2025	4	.pdf	application/pdf	2458	122	56	In the partic- ular case of the gl3 algebra, these generators take the form: E11 = x1∂1 + M11, E22 = x2∂2 + 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) [7], for discussion see [8]: a = ∂ ∂z̄ , a† = − ∂ ∂z + z̄. (6)	cache/ap-10666.pdf	txt/ap-10666.txt