**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

**A Quick Review of Commutative Algebra**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These notes give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are: Hilbert basis theorem, primary decomposition of ideals in noetherian rings, Krull intersection theorem.

(

**10280**views)

**The CRing Project: a collaborative open source textbook on commutative algebra**

by

**Shishir Agrawal, et al.**-

**CRing Project**

The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the EGA or SGA level. Suitable for a beginning undergraduate with a background in abstract algebra.

(

**9731**views)

**Commutative Algebra**

by

**Pete L. Clark**-

**University of Georgia**

Contents: Introduction to Commutative Rings; Introduction to Modules; Ideals; Examples of Rings; Swan's Theorem; Localization; Noetherian Rings; Boolean rings; Affine algebras and the Nullstellensatz; The spectrum; Integral extensions; etc.

(

**11518**views)

**Commutative Algebra**

by

**Jacob Lurie, Akhil Mathew**-

**Harvard University**

Topics: Unique factorization; Basic definitions; Rings of holomorphic functions; R-modules; Ideals; Localization; SpecR and Zariski topology; The ideal class group; Dedekind domains; Hom and the tensor product; Exactness; Projective modules; etc.

(

**10973**views)