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Sheaves – Making math concrete with Sage

Making math concrete with Sage

http://sheaves.github.io/

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Sheaves – Making math concrete with Sage | sheaves.github.io Reviews

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Making math concrete with Sage

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1

Character Theory Basics – Sheaves – Making math concrete with Sage

http://sheaves.github.io/Character-Theory

Making math concrete with Sage. This post illustrates some of SageMath’s character theory functionality, as well as some basic results about characters of finite groups. Basic Definitions and Properties. Given a representation $(V, rho)$ of a group $G$, its character. Is a map $ chi: G to mathbb{C}$ that returns the trace. Of the matrices given by $ rho$:. A character $ chi$ is irreducible. If the corresponding $(V, rho)$ is irreducible. In group theory depend heavily on character theory. Let’s ignore th...

2

Noncommutative Algebras in Sage – Sheaves – Making math concrete with Sage

http://sheaves.github.io/Noncommutative-Sage

Making math concrete with Sage. Noncommutative Algebras in Sage. In this post, I’ll demonstrate 3 ways to define non-commutative rings in Sage. They’re essentially different ways of expressing the non-commutative relations in the ring:. Define the relations directly. Define a pair of structural matrices. Via a quotient of a letterplace ring. Define the ideal generated by the relations (only works for homogeneous relations). As far as I know, all 3 methods rely on Sage’s interface with Singular. To demons...

3

Animated GIFs – Sheaves – Making math concrete with Sage

http://sheaves.github.io/Animations

Making math concrete with Sage. I really should be posting about character theory, but I got distracted making some aesthetic changes to this blog (new icon and favicon! And creating animations like this:. I’m not putting this in a SageCell because this could take quite a while, especially if you increase the number of frames (by changing the parameters in. But feel free to try it out on your own copy of Sage. It saves an animated GIF that loops forever (. At the location specified by.

4

The Group Ring and the Regular Representation – Sheaves – Making math concrete with Sage

http://sheaves.github.io/Group-Ring-Regular-Representation

Making math concrete with Sage. The Group Ring and the Regular Representation. In the previous post. We saw how to decompose a given group representation into irreducibles. But we still don’t know much about the irreducible representations of a (finite) group. What do they look like? How many are there? In this post, we’ll construct the group ring. Of a group. Treating this as a vector space, we get the regular representation. Which turns out to contain. The irreducible representations of $G$! We’re espe...

5

About – Sheaves – Making math concrete with Sage

http://sheaves.github.io/about

Making math concrete with Sage. This blog is powered by. The Sage Cell Server. Based on a theme from Jekyll Now. It’s my collection of SageMath code that can be run directly in your browser. Read more about the Sage Cell Server. Including how to embed executable Sage code into your website. Or fork. On Github to get started right away! To get even more out of SageMath (fancy stuff like privacy settings, collaboration, organizing courses, your own Linux server etc.), sign up for a free SageMath Cloud.

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Sheaves – Making math concrete with Sage

Making math concrete with Sage. This blog is powered by the Sage Cell Server. You can type Sage. Python code into the cell below, and press `Shift Enter` to evaluate it (or click "Evaluate"). Noncommutative Algebras in Sage. In this post, I’ll demonstrate 3 ways to define non-commutative rings in Sage. They’re essentially different ways of expressing the non-commutative relations in the ring:. Define the relations directly. Define a pair of structural matrices. Via a quotient of a letterplace ring.

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sheaves in a sentence | simple examples

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Sheaves Christian Resources

Sheaves Christian Resources Home Page. Informing and discipling the Christian Internet community. Sheaves is a home for Christian editorial and apologetic columns, resources for Bible Study and/or Devotions, doctrinal statements, and FAQs on issues of interest to Christians. One column, Sheavings, is from the keyboard of Rick Sutcliffe. Sheaves is a non-profit entity that will not accept advertising. Each sheaves columnist may have a text footer advertising their web site or other (commercial) writing.

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Sheaves on abelian varieties

Sheaves on abelian varieties. A research project in algebraic geometry funded by the Research Council of Norway and the University of Stavanger through the funding scheme "Young research talent" (a subcategory of "Independent Projects"). The full title of the project is "Coherent sheaves on abelian varieties: moduli, derived categories and stability conditions". See also the project page. At the Research Council of Norway. Martin G. Gulbrandsen. Also associated to, but not funded by the project:.