Kac-Moody Groups, Their Flag Varieties And Representation Theory (Progress In Mathematics)

Kac-Moody Groups, Their Flag Varieties And Representation Theory (Progress In Mathematics)

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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.

    Author

    Shrawan Kumar

    Binding

    Paperback

    EAN

    9781461266143

    Edition

    Softcover reprint of the original 1st ed. 2002

    ISBN

    1461266149

    Label

    Birkhäuser

    Manufacturer

    Birkhäuser

    NumberOfPages

    609

    ProductGroup

    Book

    ProductTypeName

    ABIS_BOOK

    PublicationDate

    2012-10-23

    Publisher

    Birkhäuser

    ReleaseDate

    2012-10-23

    Studio

    Birkhäuser

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