Title

Hopf coactions on commutative algebras generated by a quadratically independent comodule

Article Type

Research Article

Publication Title

Communications in Algebra

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.

First Page

3410

Last Page

3412

DOI

10.1080/00927872.2016.1236934

Publication Date

8-3-2017

Comments

Open Access, Green

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