Interrelations between Quantum Groups and Reflection Equation (Braided) Algebras

A. P. Isaev

doi:10.1007/BF00750065

Interrelations between Quantum Groups and Reflection Equation (Braided) Algebras

高能物理 - 理论 2011-07-08 v1 alg-geom 量子代数

作者: A. P. Isaev

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摘要

We show that the differential complex $\Omega_{B}$ over the braided matrix algebra $BM_{q}(N)$ represents a covariant comodule with respect to the coaction of the Hopf algebra $\Omega_{A}$ which is a differential extension of $GL_{q}(N)$ . On the other hand, the algebra $\Omega_{A}$ is a covariant braided comodule with respect to the coaction of the braided Hopf algebra $\Omega_{B}$ . Geometrical aspects of these results are discussed.

关键词

hopf algebras quantum algebra lie algebras and representations

引用

@article{arxiv.hep-th/9403154,
  title  = {Interrelations between Quantum Groups and Reflection Equation (Braided) Algebras},
  author = {A. P. Isaev},
  journal= {arXiv preprint arXiv:hep-th/9403154},
  year   = {2011}
}

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8 pages, LaTeX

Interrelations between Quantum Groups and Reflection Equation (Braided) Algebras

摘要

关键词

引用

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