Canonical bases of the modified quantized enveloping algebras of type $A_{2}$

Weideng Cui

Canonical bases of the modified quantized enveloping algebras of type $A_{2}$

Representation Theory 2014-06-24 v3 Quantum Algebra

Authors: Weideng Cui

Abstract

The modified quantized enveloping algebra $\dot{\mathbf{U}}$ has a remarkable canonical basis, which was introduced by Lusztig. In this paper, we give an explicit description of all elements of the canonical basis of $\dot{\mathbf{U}}$ for type $A_{2}$ .

Keywords

canonical bases quantized enveloping algebras modified algebra type $A_{2}$ Lusztig

Cite

@article{arxiv.1208.5531,
  title  = {Canonical bases of the modified quantized enveloping algebras of type $A_{2}$},
  author = {Weideng Cui},
  journal= {arXiv preprint arXiv:1208.5531},
  year   = {2014}
}

Comments

we give an explicit description of all elements of the canonical basis of modified quantized algebras for type A_2

Canonical bases of the modified quantized enveloping algebras of type $A_{2}$

Abstract

Keywords

Cite

Comments

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