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ON SQUARE ROOTS OF THE UNIFORM DISTRIBUTION ON COMPACT GROUPS
Separate topology group probability quaternion group organization properties
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2015/7/14
Let G be a compact separable topological group. When does there exist a
probability P such that P P = U ,where U is Haarmeasure and P + U? We show
that such square roots exist if and only if G is ...
Kernels of Linear Representations of Lie Groups, Locally Compact Groups, and Pro-Lie Groups
Kernels of Linear Representations of Lie Groups Locally Compact Groups Pro-Lie Groups
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2011/1/17
For a topological group G the intersection KOR(G) of all kernels of ordinary representations
is studied. We show that KOR(G) is contained in the center of G if G is a connected pro-Lie group.
Stein's method and the multivariate CLT for traces of powers on the classical compact groups
random matrices compact Lie groups Haar measure traces of powers Stein’s method
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2011/2/22
Let Mn be a random element of the unitary, special orthogonal, or unitary symplectic groups, distributed according to Haar measure. By a classical result of Diaconis and Shahshahani, for large matrix ...
On second cohomology of duals of compact groups
compact groups math
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2010/11/23
We show that for any compact connected group G the second cohomology group defined by unitary invariant 2-cocycles on \hat G is canonically isomorphic to H^2(\widehat{Z(G)};T). This implies that the ...