A presentation of the deformed W_{1+\infty} algebra

Understand

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).