| Title |
Vertex representations for Yangians of Kac-Moody algebras |
| Authors |
Guay, Nicolas ; Regelskis, Vidas ; Wendlandt, Curtis |
| DOI |
10.5802/jep.103 |
| Full Text |
|
| Is Part of |
Journal de l'École polytechnique - Mathématiques.. Palaiseau : Ecole Polytechnique. 2019, vol. 6, p. 665-706.. ISSN 2429-7100. eISSN 2270-518X |
| Keywords [eng] |
Yangian ; vertex operator ; Kac-Moody algebra ; Fock space ; twisted group algebra ; central extension |
| Abstract [eng] |
Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the Poincaré-Birkhoff-Witt property for simply laced affine Yangians. |
| Published |
Palaiseau : Ecole Polytechnique |
| Type |
Journal article |
| Language |
English |
| Publication date |
2019 |
| CC license |
|
