Computational Invariant Theory

Focusing on the computational aspects of invariant theory, this book presents algorithms for calculating the invariant ring of linearly reductive or finite groups, including modular cases. It introduces Grabner basis methods and explores the general theory of invariants, emphasizing the structural properties of the invariant rings. The text also highlights the importance of these calculations in various applications, concluding with a chapter that showcases practical uses of invariant theory in mathematics and beyond.