### Abstract

Let H be a Hopf algebra and let B be a Koszul H-module algebra. We provide necessary and sufficient conditions for a filtered algebra to be a Poincaré–Birkhoff– Witt (PBW) deformation of the smash product algebra B # H. Many examples of these deformations are given.

Original language | English (US) |
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Pages (from-to) | 1701-1731 |

Number of pages | 31 |

Journal | Algebra and Number Theory |

Volume | 8 |

Issue number | 7 |

DOIs | |

State | Published - Jan 1 2014 |

Externally published | Yes |

### Keywords

- Hopf algebra
- Koszul algebra
- PBW deformation
- Smash product algebra

### ASJC Scopus subject areas

- Algebra and Number Theory

## Fingerprint Dive into the research topics of 'Poincaré–Birkhoff–Witt deformations of smash product algebras from hopf actions on koszul algebras'. Together they form a unique fingerprint.

## Cite this

Walton, C., & Witherspoon, S. (2014). Poincaré–Birkhoff–Witt deformations of smash product algebras from hopf actions on koszul algebras.

*Algebra and Number Theory*,*8*(7), 1701-1731. https://doi.org/10.2140/ant.2014.8.1701