Woodcock, Chris F.
(2007)
*Reciprocal polynomials and modular invariant theory.*
Transformation Groups, 12
(4).
pp. 787-806.
ISSN 1083-4362 .
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Official URL http://dx.doi.org/10.1007/s00031-006-0043-2 |

## Abstract

Let p be a prime and let V be a finite-dimensional vector space over the field F-p. In this paper we introduce, and study some basic properties of, the algebra of reciprocal polynomials A(V). This can be regarded as a purely inseparable integral extension of the symmetric algebra S(V*) of the dual space V* and has a closely related modular invariant theory with a provable degree bound for invariants which is only conjectural in the symmetric algebra case. The graded F-p- algebra A(V) turns out to be normal and Cohen-Macaulay, there is an analogue of Steenrod powers and also a "Karagueuzian and Symonds-type" finiteness theorem for its invariant theory, etc.

Item Type: | Article |
---|---|

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics |

Depositing User: | Suzanne Duffy |

Date Deposited: | 25 Apr 2008 08:29 |

Last Modified: | 23 May 2014 08:50 |

Resource URI: | http://kar.kent.ac.uk/id/eprint/2819 (The current URI for this page, for reference purposes) |

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