Etingof, Pavel ; Goswami, Debashish ; Mandal, Arnab ; Walton, Chelsea
(2016)
*Hopf coactions on commutative algebras generated by a quadratically independent comodule*
Communications in Algebra, 45
(8).
pp. 3410-3412.
ISSN 0092-7872
(In Press)

Full text not available from this repository.

Official URL: http://www.tandfonline.com/doi/abs/10.1080/0092787...

Related URL: http://dx.doi.org/10.1080/00927872.2016.1236934

## Abstract

Let A be a commutative unital algebra over an algebraically closed field k of characteristic ≠ 2, whose generators form a finite-dimensional subspace V, with no nontrivial homogeneous quadratic relations. Let Q be a Hopf algebra that coacts on A inner-faithfully, while leaving V invariant. We prove that Q must be commutative when either: (i) the coaction preserves a non-degenerate bilinear form on V; or (ii) Q is co-semisimple, finite-dimensional, and char(k) =~0.

Item Type: | Article |
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Source: | Copyright of this article belongs to Taylor & Francis Group. |

Keywords: | Commutative Algebra; Co-semisimple Hopf Algebra; Hopf Algebra Action; Quadratic Independence |

ID Code: | 102174 |

Deposited On: | 01 Feb 2018 04:36 |

Last Modified: | 01 Feb 2018 04:36 |

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