Kac-Moody Groups, their Flag Varieties and Representation Theory

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This is the first monograph to exclusively treat Kac-Moody (K-M) groups, a standard tool in mathematics and mathematical physics, with connections to number theory, combinatorics, topology, singularities, quantum groups, and completely integrable systems. This comprehensive, well-written text moves from K-M Lie algebras to the broader K-M Lie group setting, and focuses on the study of K-M groups and their flag varieties, developing the theory from scratch. Most of the material presented here is not available anywhere in book literature.