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Representation Theory

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The sparsity of character tables of high rank groups of Lie type

Authors: Michael J. Larsen and Alexander R. Miller
Journal: Represent. Theory 25 (2021), 173-192
MSC (2020): Primary 20C33
Published electronically: March 4, 2021
MathSciNet review: 4224713
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Abstract: In the high rank limit, the fraction of non-zero character table entries of finite simple groups of Lie type goes to zero.

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Additional Information

Michael J. Larsen
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana
MR Author ID: 293592

Alexander R. Miller
Affiliation: Faculty of Mathematics, University of Vienna, Austria
MR Author ID: 881590

Received by editor(s): June 9, 2020
Received by editor(s) in revised form: November 19, 2020, and December 2, 2020
Published electronically: March 4, 2021
Additional Notes: The first author was partially supported by the NSF grant DMS-1702152. The second author was partially supported by the Austrian Science Foundation.
Article copyright: © Copyright 2021 American Mathematical Society