Hermitian and skew hermitian forms over local rings

James Cruickshank; Rachel Quinlan; Fernando Szechtman

doi:10.1016/j.laa.2018.04.009

Hermitian and skew hermitian forms over local rings

James Cruickshank
, Rachel Quinlan
, Fernando Szechtman

Mathematics

University of Regina

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We investigate the structure of possibly degenerate ε-hermitian forms over local rings. We prove classification theorems in the cases where the ring is complete and either the form is nondegenerate or the ring is a discrete valuation ring. In the latter case we describe a complete set of invariants for such forms based on a generalisation of the classical notion of the radical of the form.

Original language	English
Pages (from-to)	147-161
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	551
DOIs	https://doi.org/10.1016/j.laa.2018.04.009
Publication status	Published - 15 Aug 2018

Keywords

Discrete valuation ring
Hermitian
Local ring
Skew hermitian

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Cruickshank, J,Quinlan, R,Szechtman, F

Access to Document

10.1016/j.laa.2018.04.009

Cite this

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title = "Hermitian and skew hermitian forms over local rings",

abstract = "We investigate the structure of possibly degenerate ε-hermitian forms over local rings. We prove classification theorems in the cases where the ring is complete and either the form is nondegenerate or the ring is a discrete valuation ring. In the latter case we describe a complete set of invariants for such forms based on a generalisation of the classical notion of the radical of the form.",

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AU - Cruickshank, James

AU - Quinlan, Rachel

AU - Szechtman, Fernando

PY - 2018/8/15

Y1 - 2018/8/15

N2 - We investigate the structure of possibly degenerate ε-hermitian forms over local rings. We prove classification theorems in the cases where the ring is complete and either the form is nondegenerate or the ring is a discrete valuation ring. In the latter case we describe a complete set of invariants for such forms based on a generalisation of the classical notion of the radical of the form.

AB - We investigate the structure of possibly degenerate ε-hermitian forms over local rings. We prove classification theorems in the cases where the ring is complete and either the form is nondegenerate or the ring is a discrete valuation ring. In the latter case we describe a complete set of invariants for such forms based on a generalisation of the classical notion of the radical of the form.

KW - Discrete valuation ring

KW - Hermitian

KW - Local ring

KW - Skew hermitian

UR - https://www.scopus.com/pages/publications/85045474456

U2 - 10.1016/j.laa.2018.04.009

DO - 10.1016/j.laa.2018.04.009

M3 - Article

SN - 0024-3795

VL - 551

SP - 147

EP - 161

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Hermitian and skew hermitian forms over local rings

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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