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

Representation Theory 2012-09-04 v1 Mathematical Physics math.MP

Abstract

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).

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Cite

@article{arxiv.1209.0429,
  title  = {A presentation of the deformed W_{1+\infty} algebra},
  author = {Noah Arbesfeld and Olivier Schiffmann},
  journal= {arXiv preprint arXiv:1209.0429},
  year   = {2012}
}

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9 pages