Combinatorial aspects of Lie superalgebras [diskette not included]
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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
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