Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures

Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures

We study the Jacobian Poisson structures in any dimension invariant with respect to the discrete Heisenberg group. The classification problem is related to the discrete volume of suitable solids. Particular attention is given to dimension 3 whose simplest example is the Artin-Schelter-Tate Poisson t...

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Main Authors: G. Ortenzi, V. Rubtsov, S. R. Tagne Pelap
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/252186
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spelling doaj-729b380ad05848f2ac4e1f106c2849bf2021-07-02T04:19:52ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/252186252186Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson StructuresG. Ortenzi0V. Rubtsov1S. R. Tagne Pelap2Dipartimento di Matematica Pura e Applicazioni, Università degli Milano Bicocca, Via R.Cozzi 53, 20125 Milano, ItalyDépartement de Mathématiques 2, Laboratoire Angevin de Recherche en Mathématiques Université D'Angers, boulevard Lavoisier, 49045 Angers, FranceMathematics Research Unit at Luxembourg, University of Luxembourg, 6 rue Richard Coudenhove-Kalergi, 1359 Luxembourg City, LuxembourgWe study the Jacobian Poisson structures in any dimension invariant with respect to the discrete Heisenberg group. The classification problem is related to the discrete volume of suitable solids. Particular attention is given to dimension 3 whose simplest example is the Artin-Schelter-Tate Poisson tensors.http://dx.doi.org/10.1155/2011/252186
collection DOAJ
language English
format Article
sources DOAJ
author G. Ortenzi
V. Rubtsov
S. R. Tagne Pelap
spellingShingle G. Ortenzi
V. Rubtsov
S. R. Tagne Pelap
Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
Advances in Mathematical Physics
author_facet G. Ortenzi
V. Rubtsov
S. R. Tagne Pelap
author_sort G. Ortenzi
title Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
title_short Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
title_full Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
title_fullStr Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
title_full_unstemmed Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
title_sort integer solutions of integral inequalities and 𝐻-invariant jacobian poisson structures
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2011-01-01
description We study the Jacobian Poisson structures in any dimension invariant with respect to the discrete Heisenberg group. The classification problem is related to the discrete volume of suitable solids. Particular attention is given to dimension 3 whose simplest example is the Artin-Schelter-Tate Poisson tensors.
url http://dx.doi.org/10.1155/2011/252186
work_keys_str_mv AT gortenzi integersolutionsofintegralinequalitiesandhinvariantjacobianpoissonstructures
AT vrubtsov integersolutionsofintegralinequalitiesandhinvariantjacobianpoissonstructures
AT srtagnepelap integersolutionsofintegralinequalitiesandhinvariantjacobianpoissonstructures
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