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＜E-Book＞
Lie superalgebras and enveloping algebras / Ian M. Musson
(Graduate Studies in Mathematics ; v. 131)

Publisher	Providence, R.I : American Mathematical Society
Year	c2012
Size	1 online resource (xx, 488 p.)
Authors	*Musson, Ian M 1953-
Subjects	LCSH:Lie superalgebras LCSH:Universal enveloping algebras FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Universal enveloping (super)algebras  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Simple, semisimple, reductive (super)algebras  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Exceptional (super)algebras  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Solvable, nilpotent (super)algebras  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Automorphisms, derivations, other operators  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Homological methods in Lie (super)algebras  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Cohomology of Lie (super)algebras  All Subject Search FREE:Associative rings and algebras -- Rings and algebras arising under various constructions -- Universal enveloping algebras of Lie algebras  All Subject Search
Contents	Chapter 1. Introduction Chapter 2. The classical simple Lie superalgebras. I Chapter 3. Borel subalgebras and Dynkin-Kac diagrams Chapter 4. The classical simple Lie superalgebras. II Chapter 5. Contragredient Lie superalgebras Chapter 6. The PBW Theorem and filtrations on enveloping algebras Chapter 7. Methods from ring theory Chapter 8. Enveloping algebras of classical simple Lie superalgebras Chapter 9. Verma modules. I Chapter 10. Verma modules. II Chapter 11. Schur-Weyl duality Chapter 12. Supersymmetric polynomials Chapter 13. The center and related topics Chapter 14. Finite dimensional representations of classical Lie superalgebras Chapter 15. Prime and primitive ideals in enveloping algebras Chapter 16. Cohomology of Lie superalgebras Chapter 17. Zero divisors in enveloping algebras Chapter 18. Affine Lie superalgebras and number theory Appendix A Appendix B
Notes	Includes bibliographical references (p. 471-484) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/131 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/131 Information=Contents

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