A presentation of the deformed W_{1+\infty} algebra
File(s)1209.0429v1.pdf (180.3 KB)
Working paper
Author(s)
Arbesfeld, Noah
Schiffmann, Olivier
Type
Working Paper
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).
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).
Date Acceptance
2012-09-04
Citation
Proceedings of the conference Infinite Analysis 11—Frontier of Integrability held at the University of Tokyo, Tokyo, July 25–29, 2011, and the conference "Symmetries, Integrable Systems and Representations'' held at the Université Claude Bernard Lyon 1, Lyon, December 13–16, 2011.
Journal / Book Title
Proceedings of the conference Infinite Analysis 11—Frontier of Integrability held at the University of Tokyo, Tokyo, July 25–29, 2011, and the conference "Symmetries, Integrable Systems and Representations'' held at the Université Claude Bernard Lyon 1, Lyon, December 13–16, 2011.
Copyright Statement
© 2012 The Author(s).
Identifier
http://arxiv.org/abs/1209.0429v1
Subjects
math.RT
math.RT
math-ph
math.MP
Notes
9 pages