Symplectic \(\mathbb{Z}_2^n\)-manifolds
From MaRDI portal
Publication:2065144
DOI10.3934/jgm.2021020zbMath1492.53092arXiv2103.00249OpenAlexW3196091844MaRDI QIDQ2065144
Janusz Grabowski, Andrew James Bruce
Publication date: 7 January 2022
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.00249
Noncommutative algebraic geometry (14A22) Color Lie (super)algebras (17B75) Symplectic manifolds (general theory) (53D05) Supermanifolds and graded manifolds (58A50) Poisson algebras (17B63) Almost contact and almost symplectic manifolds (53D15)
Related Items (3)
Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ Integration on minimal Z22 -superspace and emergence of space ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds
- The geodesic flow on a Riemannian supermanifold
- Irreducible holonomy algebras of Riemannian supermanifolds
- Higher trace and Berezinian of matrices over a Clifford algebra
- Characteristic classes of gauge systems
- Riemannian supergeometry
- Geometry of Batalin-Vilkovisky quantization
- Lie bialgebroids and Poisson groupoids
- A new kind of graded Lie algebra and parastatistical supersymmetry
- \(Q\)-manifolds and Mackenzie theory
- Semidensities on odd symplectic supermanifolds
- Local forms of morphisms of colored supermanifolds
- \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization
- The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds
- On a \(\mathbb Z_2^n\)-graded version of supersymmetry
- On a geometric framework for Lagrangian supermechanics
- PARAGENERALIZATION OF PEIERLS BRACKET QUANTIZATION
- PARABOSE-PARAFERMI SUPERSYMMETRY
- Towards integration on colored supermanifolds
- The category of Z2n-supermanifolds
- Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford algebras
- Fedosov and Riemannian supermanifolds
- Generalized Lie algebras
- Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
- INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
- Almost commutative algebra and differential calculus on the quantum hyperplane
- Double-graded supersymmetric quantum mechanics
- Functional analytic issues in $\mathbb{Z}_2^n$-Geometry
- The graded differential geometry of mixed symmetry tensors
- Super-de Sitter and Alternative Super-Poincaré Symmetries
- $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations
- Products in the category of 2n-manifolds
- A Generalized Method of Field Quantization
- ${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models
- Odd connections on supermanifolds: existence and relation with affine connections
This page was built for publication: Symplectic \(\mathbb{Z}_2^n\)-manifolds