Table of all possible irreps of Lie groups

Last weekend, I wrote a program in SAGE that list all possible irreps of a Lie group, one specified the group (in Cartan’s classification) and the maximum sum of the Dynkin labels. Check the notebook in here. Since I’m not a programmer, please feel free to leave comments, specially if you find ways to optimize [...]

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Review: Sage beginner’s guide.

Sage beginner’s guide is a book by  Craig Finch, published recently by PACKT publishing. After spending two weeks looking at different aspects of the book, I can say with property that this is an excellent book, an I’ll recommend it for beginners to medium experienced SAGE users. Since this is the first book I review, [...]

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SAGE tip: More about Differential Forms

In a previous post we discuss the definition of the coordinated patch on a manifold, how to define differential forms, wedge them or calculate their exterior derivative… even simplify’em. This time a zero form will be defined and a list of forms will be created… So, let’s begin! Define a 0-form Once created the coordinated [...]

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SAGE tip: GRmodule. Day 07.

This code is supposed to be (if some one does the work in the future) located in sage.tensor.differential_form_element. The code presented below is a slight modification of Joris code for differential forms manipulation on SAGE. Needed modules from sage.symbolic.ring import SymbolicRing, SR from sage.rings.ring_element import RingElement from sage.algebras.algebra_element import AlgebraElement from sage.rings.integer import Integer from [...]

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SAGE tip: GRmodule. Day 06.

I’ve just updated the SAGE worksheet which uses the definitions described in the previous posts. There are some explanations in text format The code has been hidden… because is long. Moreover… I’ve discover something really amazing! Joris Vankerschaver‘s code of the differential form package in SAGE. Thus, I could use some ideas from Joris’ code [...]

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