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math.QASep 1, 2015
authors
  • Paul Terwilliger
arXiv abstractPDF
paper

The Lusztig automorphism of Uq​(sl2​) from the equitable point of view

arXiv:1509.08956

Abstract

We consider the quantum algebra Uq​(sl2​) in the equitable presentation. From this point of view, we describe the Lusztig automorphism and the corresponding Lusztig operator.

typo corrected

References in corpus (10)

  • The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq​(sl2​)
  • The quantum algebra Uq​(sl2​) and its equitable presentation
  • Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type
  • The equitable presentation for the quantum group Uq​(g) associated with a symmetrizable Kac-Moody algebra g
  • Finite-dimensional irreducible Uq​(sl2​)-modules from the equitable point of view
  • Linear transformations that are tridiagonal with respect to the three decompositions for an LR triple
  • Bidiagonal pairs, the Lie algebra sl_2, and the quantum group U_q(sl_2)
  • Billiard Arrays and finite-dimensional irreducible Uq​(sl2​)-modules
  • Lowering-Raising triples and Uq​(sl2​)
  • The algebra Uq​(sl2​) in disguise
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