Download E-books Kac-Moody Groups, Their Flag Varieties & Representation Theory PDF

By S. Kumar

Kac-Moody Lie algebras nine have been brought within the mid-1960s independently by way of V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge­ bras which we discuss with because the finite case. the idea has passed through large advancements in a number of instructions and connections with diversified parts abound, together with mathematical physics, rather a lot in order that this thought has develop into a stan­ dard instrument in arithmetic. a close remedy of the Lie algebra element of the idea are available in V. Kac's ebook [Kac-90l This self-contained paintings treats the algebro-geometric and the topological points of Kac-Moody thought from scratch. The emphasis is at the examine of the Kac-Moody teams nine and their flag types XY, together with their particular development, and their purposes to the illustration conception of g. within the finite case, nine is not anything yet a semisimple Y simply-connected algebraic team and X is the flag sort nine /Py for a parabolic subgroup p y C g.

Show description

Read or Download Kac-Moody Groups, Their Flag Varieties & Representation Theory PDF

Best Abstract books

Abstract Algebra With a Concrete Introduction

Summary Algebra with a Concrete advent

More Concise Algebraic Topology: Localization, Completion, and Model Categories (Chicago Lectures in Mathematics)

With company foundations relationship in basic terms from the Nineteen Fifties, algebraic topology is a comparatively younger zone of arithmetic. There are only a few textbooks that deal with primary subject matters past a primary direction, and lots of issues now necessary to the sphere aren't handled in any textbook. J. Peter May’s A Concise path in Algebraic Topology addresses the traditional first path fabric, corresponding to primary teams, masking areas, the fundamentals of homotopy conception, and homology and cohomology.

Group Theory II (Grundlehren Der Mathematischen Wissenschaften 248)

It is a translation from the japanese of the second one quantity (chapters 4 via six) of my publication "Gunron" (Iwanami Shoten, 1978). After discussing the idea that of commutators within the fourth bankruptcy, we tum to a dialogue of the tools and theorems referring to finite teams. The final bankruptcy is meant as an advent to the hot development within the concept of straightforward teams.

Ordered Sets (Advances in Mathematics)

This unique textbook provides loads of fabric on ordered units now not formerly released within the nonetheless fairly constrained textbook literature. it may be compatible as a textual content for a path on order idea.

Extra info for Kac-Moody Groups, Their Flag Varieties & Representation Theory

Show sample text content

Rated 4.40 of 5 – based on 22 votes