Hecke algebra of a pair

In mathematical representation theory, the Hecke algebra of a pair (g,K) is an algebra with an approximate identity, whose approximately unital modules are the same as K-finite representations of the pairs (g,K). Here K is a compact subgroup of a Lie group with Lie algebra g.

For other mathematical rings called Hecke algebras, see Hecke algebra (disambiguation).
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