The quantum algebra Uq(sl2) and its equitable presentation

@article{Ito2005TheQA,
  title={The quantum algebra Uq(sl2) and its equitable presentation},
  author={Tatsuro Ito and Paul M. Terwilliger and Chih-wen Weng},
  journal={Journal of Algebra},
  year={2005},
  volume={298},
  pages={284-301}
}
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81 Citations
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References

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The equitable presentation for the quantum group Uq(g) associated with a symmetrizable Kac–Moody algebra g
Tridiagonal pairs and the quantum affine algebra Uq(sl2) (代数的組合せ論)
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An algebra homomorphism ψ from the nonstandard q-deformed (cyclically symmetric) algebra Uq(so3) to the extension Uq(sl2) of the Hopf algebra Uq(sl2) is constructed. Not all irreducible…
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Fix f E C[X]. Define R = C[A, B, H] subject to the relations HA-AH = A, HB-BH =-B, AB-BA = f(H). We study these algebras (for different f) and in particular show how they are similar to (and…
Quantum Groups
This thesis consists of four papers. In the first paper we present methods and explicit formulas for describing simple weight modules over twisted generalized Weyl algebras. Under certain conditions…
A class of algebras similar to the enveloping algebra of (2)
Fix f E C[X]. Define R = C[A, B, H] subject to the relations HA-AH = A, HB-BH =-B, AB-BA = f(H). We study these algebras (for different f) and in particular show how they are similar to (and…
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