A presentation of the deformed W_{1+\infty} algebra
  We provide a generators and relation description of the deformed W_{1+\infty}-algebra introduced in previous joint work of E. Vasserot and the second author. This gives a presentation of the (spherical) cohomological Hall algebra of the one-loop quiver, or alternatively of the spherical degenerate double affine Hecke algebra of GL(\infty). 
Noah Arbesfeld and Olivier Schiffmann
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