Berezin, F. A. Palamodov, V. P. (ed.) [Kirillov, A. A.] Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) (Russian) Zbl 0527.15020 Moskva: Izdatel’stvo Moskovskogo Universiteta. 208 p. R. 0.85 (1983). Reviewer: J. Czyz Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 93 Documents MSC: 15A75 Exterior algebra, Grassmann algebras 58A50 Supermanifolds and graded manifolds 15A90 Applications of matrix theory to physics (MSC2000) 15-02 Research exposition (monographs, survey articles) pertaining to linear algebra 58-02 Research exposition (monographs, survey articles) pertaining to global analysis 53D50 Geometric quantization 55N30 Sheaf cohomology in algebraic topology 17A70 Superalgebras 81T60 Supersymmetric field theories in quantum mechanics 58A10 Differential forms in global analysis 01A70 Biographies, obituaries, personalia, bibliographies Keywords:Grassmann algebra; Lie super algebra; \(\mathbb Z_2\)-graded operator algebra; supermanifold; sheaf retraction; supermanifolds; supersurfaces; Grassmann manifolds; supertensors; superdensities; superdeterminant; Berezinian; supertrace; Liouville theorem; Schur lemma; Burnside theorem; fermionic generators; Grassmann bundle; orthosymplectic; superconformal; Gel’fand-Lichtman algebra; local Hamiltonians; supersymmetry; super geometry Citations:Zbl 0437.58010; Zbl 0515.58013 PDFBibTeX XML