Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups
Jeffrey Adams
TL;DR
This paper introduces the Atlas software, a computational tool for studying the representation theory and structure of real reductive groups, providing practical guidance and examples for users.
Contribution
It offers a comprehensive introduction to the Atlas software, enabling researchers to perform complex computations in the representation theory of real reductive groups.
Findings
Demonstrates basic commands with examples
Facilitates computational exploration of real reductive groups
Links to detailed algorithms in related publication
Abstract
This is an introduction to the Atlas of Lie Groups and Representations software, for computing representation and structure theory of real reductive groups. The user is led through the basic commands of the software, via numerous examples. See Algorithms for Representation Theory of Real Reductive Groups, arXiv number 0807.3093, for a more complete mathematical description of the algorithm
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Mathematics, Computing, and Information Processing · History and Theory of Mathematics