By Neelacanta Sthanumoorthy
Lie superalgebras are a common generalization of Lie algebras, having functions in geometry, quantity idea, gauge box idea, and string concept. Introduction to Finite and endless Dimensional Lie Algebras and Superalgebras introduces the idea of Lie superalgebras, their algebras, and their representations.
The fabric coated levels from easy definitions of Lie teams to the category of finite-dimensional representations of semi-simple Lie algebras. whereas discussing all periods of finite and limitless dimensional Lie algebras and Lie superalgebras when it comes to their assorted sessions of root platforms, the e-book specializes in Kac-Moody algebras. With a variety of workouts and labored examples, it really is perfect for graduate classes on Lie teams and Lie algebras.
- Discusses the basic constitution and all root relationships of Lie algebras and Lie superalgebras and their finite and countless dimensional illustration theory
- Closely describes BKM Lie superalgebras, their varied periods of imaginary root platforms, their whole classifications, root-supermultiplicities, and similar combinatorial identities
- Includes a variety of tables of the homes of person Lie algebras and Lie superalgebras
- Focuses on Kac-Moody algebras
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