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math.QAJun 8, 2007
10
citations (OpenAlex)
authors
  • Yusuke Arike
arXiv abstractPDF
paper

Symmetric linear functions of the restricted quantum group Uˉq​sl2​(C)

arXiv:0706.1113

Abstract

We determine a set of primitive idempotents and the basic algebra of the restricted quantum group Uˉq​sl2​(C). As a result, we can show the dimension of the space of symmetric linear functions of Uˉq​sl2​(C) is 3p−1

21 pages

References in corpus (1)

  • Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center

Cited by in corpus (7)

  • The Green rings of the 2-rank Taft algebra and its two relatives twisted
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  • Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra
  • W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p)
  • Representations of Uˉq​sℓ(2∣1) at even roots of unity
  • A Heisenberg double addition to the logarithmic Kazhdan--Lusztig duality
  • Quantum-sl(2) action on a divided-power quantum plane at even roots of unity
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