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Combinatorial aspects of Lie superalgebras [diskette not included]

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Author(s): Alexander A. Mikhalev, Andrej A. Zolotykh
Publisher: CRC Press
Year: 1995

Language: English

Title
Contents
Introduction
Chapter 1: Preliminaries
1. Lie superalgebras
2. Color Lie superalgebras
3. Universal constructions
4. Group actions on free Lie superalgebras
Chapter 2: Linear Structure
5. Regular words
6. Regular monomials
7. Arrangements of brackets
8. Bases of free color Lie superalgebras
9. Dynkin-Specht-Wever criterion
10. Equations in free Lie superalgebras
11. Algorithms and examples
Chapter 3: Free Subalgebras
12, Weak algorithm
13. Reduced subsets
14. Main theorem
15. Finitely generated subalgebras
16. Subalgebras of infinite rank
17. Algorithms and examples
Chapter 4: Canonical Bases
18. Canonical bases in associative algebras
19. Universal enveloping algebras
20. Canonical bases in Lie superalgebras
21. Free products
22. Algorithms and examples
Chapter 5: Free Differential Calculus
23. Universal derivations
24. Jacobian matrices
25. Admissible elements
26. The homogeneous case
27. Rank theorems
28. Automorphisms and primitive elements
29. Algorithms and examples
Appendix: Program Description
Bibliography
Notations
Index