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math.QAMar 10, 2008
1
citations (OpenAlex)
authors
  • Huanxia Fa
  • Junbo Li
  • Yongsheng Cheng
arXiv abstractPDF
paper

Quantum group structure of the q-deformed W algebra $\WW_q$

arXiv:0803.0596

Abstract

In this paper the q-deformed W algebra $\WW_q$ is constructed, whose nontrivial quantum group structure is presented.

7 pages

References in corpus (9)

  • Deformations of Lie Algebras using σ-derivations
  • Quantum Affine Algebras and Deformations of the Virasoro and W-algebras
  • Classification of irreducible weight modules over W-algebra W(2,2)
  • q-Deformed quantum Lie algebras
  • Classification of Harish-Chandra modules over the W-algebra W(2,2)
  • W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)
  • The derivations, central extensions and automorphism group of the Lie algebra W
  • q-Witt Algebras, q-Virasoro algebra, q-Lie Algebras, q-Holomorph Structure and Representations
  • Lie bialgebra structures on the W-algebra W(2,2)

Cited by in corpus (1)

  • q-Deformation of W(2,2) Lie algebra associated with quantum groups
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