English

Derivations of tensor product of algebras

Quantum Algebra 2007-05-23 v2

Abstract

We prove a theorem about the derivation algebra of the tensor product of two algebras. As an application, we determine the derivation algebra of the fixed point algebra of the tensor product of two algebras, with respect to the tensor product of two finite order automorphisms of the involved algebras. These results generalize some well-know theorems in the literature.

Keywords

Cite

@article{arxiv.math/0504368,
  title  = {Derivations of tensor product of algebras},
  author = {Saeid Azam},
  journal= {arXiv preprint arXiv:math/0504368},
  year   = {2007}
}

Comments

21 pages, the abstract is revised and some minor typoes are corrected