Symmetry plays a fundamental role in mathematics and the sciences. In the late 19th century Sophus Lie showed that the symmetry of a system can be captured in an abstract mathematical object; these are now known as Lie pronounced Lee groups. The ways in which a particular symmetry i. Lie group can manifest itself are known as unitary representations.
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The main goal of the Atlas of Lie Groups and Representations is to understand all such representations. This has applications to physics, as well as many areas of mathematics, including number theory and geometry. The approach is computational. Both the mathematical and computational challenges are great, and the project brings together mathematicians and computer scientists.
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Pdf Representations Of Groups A Computational Approach
This page provides some guide to theoretical background material for the. The most comprehensive and extremely well-written textbook on. There are surveys on different areas and aspects as well as descriptions. It should be noted,. The two most relevant articles in our. There are some monographs covering special areas:.
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