Research Article
Auto-correlation functions for unitary groups
https://doi.org/10.21203/rs.3.rs-2199664/v1
This work is licensed under a CC BY 4.0 License
published 11 Sep, 2023
Read the published version in Algebras and Representation Theory →
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We compute the auto-correlations functions of order m ≥ 1 for the characteristic polynomials of random matrices from certain subgroups of the unitary groups U(2) and U(3) by establishing new branching rules. These subgroups can be understood as certain analogues of Sato-Tate groups of USp(4) in our previous paper. Our computation yields symmetric polynomial identities with m-variables involving irreducible characters of U(m) for all m ≥ 1 in an explicit, uniform way.
No competing interests reported.
published 11 Sep, 2023
Read the published version in Algebras and Representation Theory →
Editorial decision: Major revision
30 May, 2023
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30 Oct, 2022
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24 Oct, 2022
You are reading this latest preprint version