Analysis on generalized superspaces

DOI10.1063/1.526996zbMath0612.58009OpenAlexW1970437325MaRDI QIDQ3753160

Shigeaki Nagamachi, Yuji Kobayashi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.526996

zbMATH Keywords

sigma-commutative graded algebras

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Graded rings and modules (associative rings and algebras) (16W50) Analysis on supermanifolds or graded manifolds (58C50) Other algebras built from modules (15A78)

Related Items (6)

The chain rule of differentiation in superspace ⋮ Usage of infinite-dimensional nuclear algebras in superanalysis ⋮ Superdistributions ⋮ Distributions and partial differential equations on superspace ⋮ Analysis on the p-adic superspace. II. Differential equations on p-adic superspace ⋮ Generalized complex superspace—Involutions of superfields

Cites Work

• The chain rule of differentiation in superspace
• Superspaces and supersymmetries
• Lie groups and Lie algebras with generalized supersymmetric parameters
• The cohomology of the generalized Lie algebras
• Casimir invariants, characteristic identities, and Young diagrams for color algebras and superalgebras
• Consistent superspace integration
• Generalized Lie algebras
• A global theory of supermanifolds
• A Generalized Method of Field Quantization

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