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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2011-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2011/252186 |
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author | G. Ortenzi V. Rubtsov S. R. Tagne Pelap |
author_facet | G. Ortenzi V. Rubtsov S. R. Tagne Pelap |
author_sort | G. Ortenzi |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-729b380ad05848f2ac4e1f106c2849bf |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
spelling | doaj-art-729b380ad05848f2ac4e1f106c2849bf2025-02-03T06:47:23ZengWileyAdvances 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 |
spellingShingle | G. Ortenzi V. Rubtsov S. R. Tagne Pelap Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures Advances in Mathematical Physics |
title | 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_short | Integer Solutions of Integral Inequalities and 𝐻-Invariant
Jacobian Poisson Structures |
title_sort | integer solutions of integral inequalities and 𝐻 invariant jacobian poisson structures |
url | http://dx.doi.org/10.1155/2011/252186 |
work_keys_str_mv | AT gortenzi integersolutionsofintegralinequalitiesandhinvariantjacobianpoissonstructures AT vrubtsov integersolutionsofintegralinequalitiesandhinvariantjacobianpoissonstructures AT srtagnepelap integersolutionsofintegralinequalitiesandhinvariantjacobianpoissonstructures |