Joint Invariants of Linear Symplectic Actions

We review computations of joint invariants on a linear symplectic space, discuss variations for an extension of group and space and relate this to other equivalence problems and approaches, most importantly to differential invariants.

Bibliographic Details
Main Authors: Fredrik Andreassen, Boris Kruglikov
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/12/2020
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author Fredrik Andreassen
Boris Kruglikov
author_facet Fredrik Andreassen
Boris Kruglikov
author_sort Fredrik Andreassen
collection DOAJ
description We review computations of joint invariants on a linear symplectic space, discuss variations for an extension of group and space and relate this to other equivalence problems and approaches, most importantly to differential invariants.
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spelling doaj.art-dffb4f458a684fdea3731b7b3e91d9642023-11-20T23:43:04ZengMDPI AGSymmetry2073-89942020-12-011212202010.3390/sym12122020Joint Invariants of Linear Symplectic ActionsFredrik Andreassen0Boris Kruglikov1Institute of Mathematics and Statistics, UiT the Arctic University of Norway, 90-37 Tromsø, NorwayInstitute of Mathematics and Statistics, UiT the Arctic University of Norway, 90-37 Tromsø, NorwayWe review computations of joint invariants on a linear symplectic space, discuss variations for an extension of group and space and relate this to other equivalence problems and approaches, most importantly to differential invariants.https://www.mdpi.com/2073-8994/12/12/2020polynomial and rational invariantssyzygyfree resolutiondiscretization
spellingShingle Fredrik Andreassen
Boris Kruglikov
Joint Invariants of Linear Symplectic Actions
Symmetry
polynomial and rational invariants
syzygy
free resolution
discretization
title Joint Invariants of Linear Symplectic Actions
title_full Joint Invariants of Linear Symplectic Actions
title_fullStr Joint Invariants of Linear Symplectic Actions
title_full_unstemmed Joint Invariants of Linear Symplectic Actions
title_short Joint Invariants of Linear Symplectic Actions
title_sort joint invariants of linear symplectic actions
topic polynomial and rational invariants
syzygy
free resolution
discretization
url https://www.mdpi.com/2073-8994/12/12/2020
work_keys_str_mv AT fredrikandreassen jointinvariantsoflinearsymplecticactions
AT boriskruglikov jointinvariantsoflinearsymplecticactions