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Catalogue Information
Field name	Details
Dewey Class	514.2
Title	Kac-Moody Groups, their Flag Varieties and Representation Theory ([EBook]) / by Shrawan Kumar.
Author	Kumar, Shrawan
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 2002.
Physical Details	XV, 609 pages : online resource.
Series	Progress in mathematics 0743-1643 ; ; 204
ISBN	9781461201052
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-0105-2
Links to Related Works	Subject References: Algebra . Algebraic Geometry . Algebraic Topology . Group theory . Group Theory and Generalizations . Lie groups . Mathematics . Topological groups . Authors: Kumar, Shrawan . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 514.2 .

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Kac-Moody Groups, their Flag Varieties and Representation Theory

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