= Hecke algebra of a locally compact group
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The Hecke algebra of a locally compact group is a mathematical construction that arises primarily in representation theory and harmonic analysis, particularly in the study of groups and their representations. It plays a significant role in various areas, including number theory, algebraic geometry, and the theory of automorphic forms. \#\#\# Definition: For a locally compact group \\( G \\), the Hecke algebra is typically defined in relation to a set of subsets of \\( G \\), often associated with subgroups of \\( G \\).
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