Weight module classifications for Bershadsky-Polyakov algebras (Q6608789)

scientific article; zbMATH DE number 7916669

Language	Label	Description	Also known as
English	Weight module classifications for Bershadsky-Polyakov algebras	scientific article; zbMATH DE number 7916669

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instance of

scholarly article

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title

Weight module classifications for Bershadsky-Polyakov algebras (English)

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Communications in Contemporary Mathematics

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publication date

20 September 2024

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zbMATH Keywords

vertex algebra

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Bershadsky-Polyakov algebras

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weight modules

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relaxed highest weight modules

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MaRDI profile type

Publication

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cites work

Classification of irreducible modules of certain subalgebras of free boson vertex algebra.

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Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\)

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Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results

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A realisation of the Bershadsky-Polyakov algebras and their relaxed modules

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Bershadsky-Polyakov vertex algebras at positive integer levels and duality

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Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels

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Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)

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Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture

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Rationality of Bershadsky-Polyakov vertex algebras

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Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras

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Rationality of \(W\)-algebras: principal nilpotent cases

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Rationality of admissible affine vertex algebras in the category \(\mathcal O\)

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Weight representations of admissible affine vertex algebras

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Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras

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Representations of a class of lattice type vertex algebras

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Conformal field theories via Hamiltonian reduction

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Q4715435

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Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models

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Unitary and non-unitary \(N=2\) minimal models

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On ribbon categories for singlet vertex algebras

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Ribbon tensor structure on the full representation categories of the singlet vertex algebras

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Modular data and Verlinde formulae for fractional level WZW models I

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Logarithmic conformal field theory: beyond an introduction

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Modular data and Verlinde formulae for fractional level WZW models. II

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Subregular W-algebras of type <i>A</i>

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Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras

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Modularity of Bershadsky-Polyakov minimal models

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Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras

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Vertex algebras and algebraic curves

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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Irreducible non-dense \(A_ 1^{(1)}\)-modules

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On simplicity of vacuum modules

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Automorphisms of \(\mathcal W\)-algebras and extended rational conformal field theories

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Vertex operator algebras, the Verlinde conjecture, and modular tensor categories

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Quantum reduction for affine superalgebras

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Modular invariant representations of infinite-dimensional Lie algebras and superalgebras

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Quantum reduction and representation theory of superconformal algebras

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Relaxed highest-weight modules. III: Character formulae

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Relaxed highest-weight modules. I: Rank 1 cases

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Relaxed highest-weight modules II: Classifications for affine vertex algebras

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Admissible-level \(\mathfrak{sl}_3\) minimal models

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The physics superselection principle in vertex operator algebra theory

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Classification of irreducible weight modules

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\(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study

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Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models

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A Class of Algebras Similar to the Enveloping Algebra of sl(2)

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Fusion rules and modular transformations in 2D conformal field theory

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Classification of irreducible modules of \({\mathcal W}_3\) algebra with \(c=-2\)

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Non-Abelian bosonization in two dimensions

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Modular invariance of characters of vertex operator algebras

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Identifiers

Mathematics Subject Classification ID

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10.1142/S0219199723500633

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608789