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book (7)


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Book
Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category.
Authors: ---
ISBN: 9780821869185 Year: 2012 Volume: no. 1030 Publisher: Providence American Mathematical Society


Book
Torsors, reductive group schemes and extended affine Lie algebras.
Authors: ---
ISBN: 9780821887745 0821887742 Year: 2013 Publisher: Providence American Mathematical Society

Some generalized Kac-Moody algebras with known root multiplicities
Author:
ISBN: 0821828886 Year: 2002 Volume: 746 Publisher: Providence (R.I.): American Mathematical Society


Book
"Abstract" homomorphisms of split Kac-Moody groups.
Author:
ISBN: 9780821842584 Year: 2009 Publisher: Providence American Mathematical Society


Book
Classification of actions of discrete Kac algebras on injective factors
Authors: ---
ISBN: 9781470420550 Year: 2017 Publisher: Providence : American Mathematical Society,

Invariant measures for unitary groups associated to Kac-Moody Lie algebras
Author:
ISBN: 0821820680 Year: 2000 Volume: 693 Publisher: Providence, Rhode Island : American Mathematical Society,

Kac-Moody groups, their flag varieties, and representation theory
Author:
ISBN: 0817642277 3764342277 1461266149 1461201055 9780817642273 Year: 2002 Volume: v. 204 Publisher: Boston : Birkhäuser,

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Abstract

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.

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