Multiplicative Invariant Theory (eBook, PDF)
Martin Lorenz
eBook, PDF

Multiplicative Invariant Theory (eBook, PDF)

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Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far..Multiplicative invariant theory is intimately tied to integral representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori.Throughout the text, numerous explicit examp...

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