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arxiv: 1403.1017 · v3 · pith:6SYHZRL7new · submitted 2014-03-05 · 🧮 math.RT · math-ph· math.MP

Explicit generators in rectangular affine W-algebras of type A

Tomoyuki Arakawa , Alexander Molev This is my paper
classification 🧮 math.RT math-phmath.MP
keywords affineexplicitgeneratorsnilpotenttypeassociatedblockscase
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We produce in an explicit form free generators of the affine W-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the principal nilpotent case and we thus recover the quantum Miura transformation of Fateev and Lukyanov.

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