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arXiv · 1302.6202

Quantum toroidal and shuffle algebras

Andrei Neguţ
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Abstract

In this paper, we prove that the quantum toroidal algebra of gl_n is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R-matrix of the quantum toroidal algebra.

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Andrei Neguţ. 2013-02-25. Quantum toroidal and shuffle algebras. https://arxiv.org/abs/1302.6202

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