**Introduction to Twisted Commutative Algebras**

by Steven V Sam, Andrew Snowden

**Publisher**: arXiv 2012**Number of pages**: 56

**Description**:

This article is an expository account of the theory of twisted commutative algebras, which simply put, can be thought of as a theory for handling commutative algebras with large groups of linear symmetries. Examples include the coordinate rings of determinantal varieties, Segre-Veronese embeddings, and Grassmannians.

Download or read it online for free here:

**Download link**

(620KB, PDF)

## Similar books

**Theory and Applications of Lattice Point Methods for Binomial Ideals**

by

**Ezra Miller**-

**arXiv**

This is a survey of lattice point methods for binomial ideals. It is aimed at students and researchers in algebra; it includes many examples, open problems, and elementary introductions to the motivations and background from outside of algebra.

(

**4713**views)

**Introduction to Commutative Algebra**

by

**Thomas J. Haines**-

**University of Maryland**

Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lectures is to study commutative algebra and some topics in algebraic geometry in a parallel manner.

(

**4978**views)

**The Algebraic Theory of Modular Systems**

by

**Francis Sowerby Macaulay**-

**Cambridge University Press**

Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term 'Cohen-Macaulay ring'.

(

**4384**views)

**A Primer of Commutative Algebra**

by

**J.S. Milne**

These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses.

(

**4592**views)