Graded differential geometry of graded matrix algebras

DOI10.1063/1.533110zbMath0958.58004arXivmath-ph/9905018OpenAlexW3103068453WikidataQ115328312 ScholiaQ115328312MaRDI QIDQ4498503

G. Reiter, Harald Grosse

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9905018

zbMATH Keywords

graded matrix algebrasgraded symplectic structuregraded vector fieldsgraded multilinear forms

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Supermanifolds and graded manifolds (58A50) Complex supergeometry (32C11) Linear and multilinear algebra; matrix theory (15-XX)

Related Items (5)

On groupoid gradings ⋮ Noncommutative \(\varepsilon \)-graded connections ⋮ On graded associative algebras. ⋮ On the structure of graded commutative algebras ⋮ On the structure of graded Leibniz triple systems

Cites Work

• Graded non-commutative geometries
• Graded Lie-Cartan pairs. I
• Supersymmetric quantum theory and non-commutative geometry
• The fuzzy supersphere
• Connes' noncommutative differential geometry and the standard model
• Supersymmetry and noncommutative geometry
• Field theory on a supersymmetric lattice
• Remarks on the differential envelopes of associative algebras
• Introduction to Dubois-Violette's noncommutative differential geometry
• Noncommutative differential geometry of matrix algebras
• Noncommutative differential geometry and new models of gauge theory
• Cohomology of Lie superalgebras and their generalizations
• Super matrix geometry

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