Introduction to Superanalysis

Inhaltsverzeichnis

• 1. Grassmann Algebra.
• 2. Superanalysis.
• 3. Linear Algebra in Z2-Graded Spaces.
• 4. Supermanifolds in General.
• 5. Lie Superalgebras.
• 1. Lie Superalgebras.
• 2. Lie Supergroups.
• 3. Laplace-Casimir Operators (General Theory).
• 4. Radial Parts of the Laplace Operators on the Lie Supergrouups U(p, q) and C(m, n).
• 5. Construction of Representations of Lie Supergroups U(p, q) and C(m, n).
• Appendix 1. Particle Spin Dynamics as the Grassmann Variant of Classical Mechanics.
• Appendix 2. Supersymmetry and Supergravity by V. I. Ogievetsky.
• Supplement. List of F. A. Berezin’s Published Works.