Invariant Theory: a Third Lease of Life

Fuente: arXiv
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1. Verfasser: Kemper, Gregor
Format: Preprint
Veröffentlicht: 2024
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author Kemper, Gregor
author_facet Kemper, Gregor
contents In 1993, just about a century after the epoch of Classical Invariant Theory and almost 30 years after Mumford's seminal book on Geometric Invariant Theory, Bernd Sturmfels approached the subject from a new, algorithmic perspective in his book on Algorithms in Invariant Theory. This article aims to highlight some of the developments that followed the book. Inspired by Bernd's style of teaching mathematics, the goal is neither comprehensiveness nor maximal generality, but to emphasize the main ideas and to convey the beauty of the subject. The article is intended as an invitation to invariant theory, and in particular to Bernd's work and the ideas inspired by it.
format Preprint
id arxiv_https___arxiv_org_abs_2403_12709
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Invariant Theory: a Third Lease of Life
Kemper, Gregor
Commutative Algebra
13A50, 13P10
In 1993, just about a century after the epoch of Classical Invariant Theory and almost 30 years after Mumford's seminal book on Geometric Invariant Theory, Bernd Sturmfels approached the subject from a new, algorithmic perspective in his book on Algorithms in Invariant Theory. This article aims to highlight some of the developments that followed the book. Inspired by Bernd's style of teaching mathematics, the goal is neither comprehensiveness nor maximal generality, but to emphasize the main ideas and to convey the beauty of the subject. The article is intended as an invitation to invariant theory, and in particular to Bernd's work and the ideas inspired by it.
title Invariant Theory: a Third Lease of Life
topic Commutative Algebra
13A50, 13P10
url https://arxiv.org/abs/2403.12709