What is a Lattice W-Algebra?

Anton Izosimov; Gloria Marí Beffa

doi:10.1093/imrn/rnad151

What is a Lattice W-Algebra?

Anton Izosimov
, Gloria Marí Beffa

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical W_m-algebras. We then show that the so-constructed algebras coincide with the ones given by discrete Drinfeld–Sokolov-type reduction.

Original language	English (US)
Pages (from-to)	17021-17059
Number of pages	39
Journal	International Mathematics Research Notices
Volume	2023
Issue number	19
DOIs	https://doi.org/10.1093/imrn/rnad151
State	Published - Oct 1 2023

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1093/imrn/rnad151

Cite this

@article{7984f1975d304113a55376f9c165c07d,

title = "What is a Lattice W-Algebra?",

abstract = "We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical Wm-algebras. We then show that the so-constructed algebras coincide with the ones given by discrete Drinfeld{\textendash}Sokolov-type reduction.",

author = "Anton Izosimov and Beffa, \{Gloria Mar{\'i}\}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2023.",

year = "2023",

month = oct,

day = "1",

doi = "10.1093/imrn/rnad151",

language = "English (US)",

volume = "2023",

pages = "17021--17059",

journal = "International Mathematics Research Notices",

issn = "1073-7928",