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 examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2.

The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.

Martin Stein's thesis describes a novel methodology for natural product discovery. Due to its high degree of reproducibility, robustness and sensitivity, the technique can be utilized to detect even trace amounts of bioactive substances in heterogeneous matrices such as fermentation broths or crude organic extracts. This research is thus relevant for a large number of researchers working in natural product discovery. Applications of this novel NMR-based approach include suitable environmental triggers for the induction of biosynthetic machineries. The author demonstrates the extraordinary value of this approach by the successful isolation of two potent inhibitors of the pharmaceutically relevant proteasome core particle from the insect pathogen photorhabdus luminescens. This thesis has led to a number of publications in high-impact journals.

Martin Stein's thesis describes a novel methodology for natural product discovery. Due to its high degree of reproducibility, robustness and sensitivity, the technique can be utilized to detect even trace amounts of bioactive substances in heterogeneous matrices such as fermentation broths or crude organic extracts. This research is thus relevant for a large number of researchers working in natural product discovery. Applications of this novel NMR-based approach include suitable environmental triggers for the induction of biosynthetic machineries. The author demonstrates the extraordinary value of this approach by the successful isolation of two potent inhibitors of the pharmaceutically relevant proteasome core particle from the insect pathogen photorhabdus luminescens. This thesis has led to a number of publications in high-impact journals.

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 examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2.

The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.

Nach einer niederschmetternden Diagnose - MS oder Parkinson oder andere schleichemden, unheilbaren Krankheiten kann man resignieren und auf den Tod warten. Der andere Weg ist: kampfen um jeden Tag, der noch zu ertragen ist. Vieles wird schwierige, aber bis zum 'GEHT NICHT MEHR' ist noch reichlich Zeit. Geniessen wir sie