Representation growth of compact linear groups
نویسندگان
چکیده
منابع مشابه
Representation Growth of Linear Groups
Let Γ be a group and rn(Γ) the number of its n-dimensional irreducible complex representations. We define and study the associated representation zeta function ZΓ(s) = ∞ ∑ n=1 rn(Γ)n . When Γ is an arithmetic group satisfying the congruence subgroup property then ZΓ(s) has an “Euler factorization”. The “factor at infinity” is sometimes called the “Witten zeta function” counting the rational rep...
متن کاملRepresentation Growth for Linear Groups
Let Γ be a group and rn(Γ) the number of its n-dimensional irreducible complex representations. We define and study the associated representation zeta function ZΓ(s) = ∞ ∑ n=1 rn(Γ)n . When Γ is an arithmetic group satisfying the congruence subgroup property then ZΓ(s) has an “Euler factorization”. The “factor at infinity” is sometimes called the “Witten zeta function” counting the rational rep...
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متن کامل(Compact) Lie Groups and Representation Theory Lecture Notes
The following notes were taking during a course on (Compact) Lie Groups and Representation Theory at the University of Washington in Fall 2014. Please send any corrections to [email protected]. Thanks!
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2019
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7618