Multiplicative Invariant Theory: 135 (Encyclopaedia of by Martin Lorenz

By Martin Lorenz

Multiplicative invariant conception, as a examine region in its personal correct in the wider spectrum of invariant idea, is of really fresh classic. the current textual content bargains a coherent account of the elemental effects completed therefore far..
Multiplicative invariant conception is in detail tied to quintessential representations of finite teams. as a result, the sphere has a predominantly discrete, algebraic taste. Geometry, in particular the idea of algebraic teams, enters via Weyl teams and their root lattices in addition to through personality lattices of algebraic tori.
Throughout the textual content, a variety of particular examples of multiplicative invariant algebras and fields are provided, together with the total record of all multiplicative invariant algebras for lattices of rank 2.
The booklet is meant for graduate and postgraduate scholars in addition to researchers in indispensable illustration conception, commutative algebra and, usually, invariant theory.

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