Work

Double Yangian and the universal R-matrix

Year: 2019

Type: article

Abstract: We describe the double Yangian of the general linear Lie algebra gl N by following a general scheme of Drinfeld. We also describe the centre of the Yangian by using its Hopf algebra structure, and provide a proof of the analogue of the Poincaré—Birkhoff—Witt theorem for the Yangian based on its representation theory. This proof extends to the double Yangian.

Source: Japanese journal of mathematics

DOI: 10.1007/s11537-019-1912-5

Author: Maxim Nazarov

Institution: University of York

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Engineering and Physical Sciences Research Council

Award: G8922700664