Download E-books Introduction to Finite and Infinite Dimensional Lie (Super)algebras PDF

By Neelacanta Sthanumoorthy

Lie superalgebras are a normal generalization of Lie algebras, having purposes in geometry, quantity idea, gauge box concept, and string thought. 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 uncomplicated definitions of Lie teams to the type of finite-dimensional representations of semi-simple Lie algebras. whereas discussing all sessions of finite and endless dimensional Lie algebras and Lie superalgebras when it comes to their assorted sessions of root platforms, the booklet makes a speciality of Kac-Moody algebras. With quite a few routines and labored examples, it truly is excellent for graduate classes on Lie teams and Lie algebras.

  • Discusses the elemental constitution and all root relationships of Lie algebras and Lie superalgebras and their finite and endless dimensional illustration theory
  • Closely describes BKM Lie superalgebras, their diverse sessions of imaginary root platforms, their entire classifications, root-supermultiplicities, and comparable combinatorial identities
  • Includes a number of tables of the homes of person Lie algebras and Lie superalgebras
  • Focuses on Kac-Moody algebras

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