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math.QAJan 10, 2013
3
citations (OpenAlex)
authors
  • A. M. Semikhatov
arXiv abstractPDF
paper

A note on the "logarithmic-W_3" octuplet algebra and its Nichols algebra

arXiv:1301.2227

Abstract

We describe a Nichols-algebra-motivated construction of an octuplet chiral algebra that is a "W_3-counterpart" of the triplet algebra of (p,1) logarithmic models of two-dimensional conformal field theory.

arXiv comment14pp. LateX: amsart++, xy, times

References in corpus (9)

  • Indecomposable Fusion Products
  • Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
  • The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
  • The Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity
  • The Nichols algebra of screenings
  • Root systems and Weyl groupoids for Nichols algebras
  • Some remarks on Nichols algebras
  • Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra
  • Lattice construction of logarithmic modules for certain vertex algebras

Cited by in corpus (2)

  • Logarithmic ^sl(2) CFT models from Nichols algebras. 1
  • On parafermion vertex algebras of sl(2)−3/2​ and sl(3)−3/2​
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