Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras

Gaetano Fiore

Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras

Quantum Algebra 2012-09-28 v1 Group Theory

Authors: Gaetano Fiore

Abstract

We briefly review and illustrate our procedure to 'decouple' by transformation of generators: either a Hopf algebra $H$ from a $H$ -module algebra $A_1$ in their cross-product $A_1 >\triangleleft H$ ; or two (or more) $H$ -module algebras $A_1,A_2$ . These transformations are based on the existence of an algebra map $A_1 >\triangleleft H\to A_1$ .

Keywords

tensor factor decoupling cross product braided tensor product hopf algebra module algebra generator transformation

Cite

@article{arxiv.math/0212320,
  title  = {Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras},
  author = {Gaetano Fiore},
  journal= {arXiv preprint arXiv:math/0212320},
  year   = {2012}
}

Comments

Latex file,7 pages.Contribution to the Proceedings of the "International Colloquium on Group Theoretical Methods in Physics" (Group24), Paris, July 2002

Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras

Abstract

Keywords

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