Book Review: Multiplicative invariant theory

" Multiplicative Invariant Theory " by Martin Lorenz

Let K be a commutative integral domain and let S = K[x1, x2, . . . , xn] denote the polynomial ring over K in the n variables x1, x2, . . . , xn. If H is a group of automorphisms of the free K-module V = Kx1 +Kx2 + · · ·+Kxn, that is, if H is a subgroup of GL(V ) ∼= GLn(K), then the linear action of H on V extends uniquely to a K-algebra action on S. The relationship between S, H, the H-stable ...

Book Review: Contemporary Sensorimotor Theory

Consciousness, with its irreducible subjective character, was almost exclusively a philosophical topic until relatively recently. Today, however, the problem of explaining the felt quality of experience has also become relevant to science and engineering, including robotics andAI: “What would we have to build into a robot so that it really felt the touch of a finger, the redness of red, or the ...

Book Review

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BOOK REVIEW Bohmian Mechanics and Quantum Theory

This collection Bohmian Mechanics and Quantum Theory gives us the broadest perspective yet on this important realist alternative to standard quantum theory. The book treats the history, philosophical rami"cations and consistency of theories arising from Bohm's original model and their relations to other alternative theories. Signi"cantly, it also contains applications of these theories to pract...

Elements of Finite Model Theory [book review]