Amitsur's conjecture for associative algebras with a generalized Hopf action
Rings and Algebras
2014-09-02 v7
Abstract
We prove the analog of Amitsur's conjecture on asymptotic behavior for codimensions of several generalizations of polynomial identities for finite dimensional associative algebras over a field of characteristic 0, including G-identities for any finite (not necessarily Abelian) group G and H-identities for a finite dimensional semisimple Hopf algebra H. In addition, we prove that the Hopf PI-exponent of Sweedler's 4-dimensional algebra with the action of its dual equals 4.
Keywords
Cite
@article{arxiv.1203.5384,
title = {Amitsur's conjecture for associative algebras with a generalized Hopf action},
author = {Alexey Sergeevich Gordienko},
journal= {arXiv preprint arXiv:1203.5384},
year = {2014}
}
Comments
21 pages; minor misprints were corrected; section "Acknowledgements" was corrected