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Introduction to W-algebras and their representation theory

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arxiv 1605.00138 v2 pith:APVC6HKB submitted 2016-04-30 math.RT math-phmath.MPmath.QA

Tomoyuki Arakawa This is my paper · ORCID
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These are lecture notes from author's mini-course during Session 1: "Vertex algebras, W-algebras, and application" of INdAM Intensive research period "Perspectives in Lie Theory", at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. December 9, 2014 -- February 28, 2015.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 11 citations worldwide. Full citation record

  1. Cyclotomic level maps and associated varieties of simple affine vertex algebras

    math.RT 2025-07 conditional novelty 7.0 of 10

    A new map predicts the associated variety of every simple affine vertex algebra at integer levels above criticality as a single sheet, with compatibility theorems connecting it to reduction types and affine cells.

  2. Affine vertex algebras and an affine analog of Barbasch-Vogan's construction

    math.RT 2026-08 conditional novelty 5.0 of 10

    This expository preprint proposes a Langlands-style conjectural description of associated varieties and simple modules of simple affine vertex algebras at integer levels in simply-laced types.

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