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Kac-Moody Groups, Their Flag Varieties, and Representation Theory (Freiburger Veroffentlichungen Zum Religionsrecht,) by Shrawan Kumar (auth.) is a nonfiction available to read on EtoBox.

What is Kac-Moody Groups, Their Flag Varieties, and Representation Theory (Freiburger Veroffentlichungen Zum Religionsrecht,) about?

Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g. Erscheinungsdatum: 23.10.2012

Who reads Kac-Moody Groups, Their Flag Varieties, and Representation Theory (Freiburger Veroffentlichungen Zum Religionsrecht,)?

Author

Shrawan Kumar (auth.)

Publisher

Birkhäuser Boston; Imprint; Birkhäuser

Published

2002

Language

EN

ISBN

9781461266143

Category

nonfiction

Subjects

Mathematics, Stem