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Averages over classical Lie groups, twisted by characters

Abstract:

We compute EG(∏itr(gλi)), where gG = Sp (2n) or SO (m) (m = 2n, 2n + 1) with Haar measure. This was first obtained by Diaconis and Shahshahani [Persi Diaconis, Mehrdad Shahshahani, On the eigenvalues of random matrices, J. Appl. Probab. 31A (1994) 49-62. Studies in applied probability], but our proof is more self-contained and gives a combinatorial descripti...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jcta.2007.01.008

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Merton College
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Journal of Combinatorial Theory, Series A Journal website
Volume:
114
Issue:
7
Pages:
1278-1292
Publication date:
2007-10-01
DOI:
EISSN:
1096-0899
ISSN:
0097-3165
Source identifiers:
8442
Language:
English
Keywords:
UUID:
uuid:13126910-61bb-40f3-8f0c-61be00c85de2
Local pid:
pubs:8442
Deposit date:
2012-12-19

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