INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

DOI10.1070/RM1980v035n01ABEH001545zbMath0462.58002OpenAlexW1989612317MaRDI QIDQ3913479

Publication date: 1980

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1980v035n01abeh001545

zbMATH Keywords

tensor algebras implicit function theorem supermanifolds superspaces inverse function supertrace subsupermanifolds modules over superalgebras analysis in the Grassmann algebra Berezin function integration in superdomains Lie superalgebras and derivations of superalgebras linear superspaces vector fields and Taylor series

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Integration on manifolds; measures on manifolds (58C35) Supermanifolds and graded manifolds (58A50) Graded Lie (super)algebras (17B70) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69) Analysis on supermanifolds or graded manifolds (58C50) Exterior algebra, Grassmann algebras (15A75) Implicit function theorems; global Newton methods on manifolds (58C15)

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