Download E-books Algebraic Homogeneous Spaces and Invariant Theory PDF

By Frank D. Grosshans

The invariant thought of non-reductive teams has its roots within the nineteenth century yet has visible a few very fascinating advancements long ago 20 years. This booklet is an exposition of numerous similar issues together with observable subgroups, brought on modules, maximal unipotent subgroups of reductive teams and the tactic of U-invariants, and the complexity of an motion. a lot of this fabric has no longer seemed formerly in publication shape. The exposition assumes a uncomplicated wisdom of algebraic teams after which develops every one subject systematically with purposes to invariant conception. routines are incorporated in addition to many examples, a few of that are concerning geometry and physics.

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