Algorithms for Representation Theory of Real Reductive Groups
نویسندگان
چکیده
Introduction The irreducible admissible representations of a real reductive group such as GL(n,R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved and requires a substantial number of prerequisites. See [13] for a reasonably accessible treatment. It is fair to say that it is difficult for a non-expert to understand any non-trivial case, not to mention a group such as E8. The purpose of these notes is to describe an algorithm to compute the irreducible admissible representations of a real reductive group. The algorithm has been implemented on a computer by the second author. This work is part of the Atlas of Lie Groups and Representations project. An early version of the software (Version 0.3 as of July 2008), and other documentation and information, may be found on the web page of the Atlas project, www.liegroups.org. Here is some more detail on what the algorithm and the software do:
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