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.
Definition
The Hecke algebra of a pair (g,K) is the algebra of K-finite distributions on G with support in K, with the product given by convolution.
gollark: No.
gollark: Waaaait. Most proxying things won't forward ICMP because that would be stupid. So the ARM machine is actually within the Oracle Cloud network somehow or olog is deliberately being tricky with that "ping" there.
gollark: Hmmmm.
gollark: Hmm. Scaleway has cancelled their aarch64 servers.
gollark: I'm sure they won't implode much if I attain one.
References
- Knapp, Anthony W.; Vogan, David A. (1995), Cohomological induction and unitary representations, Princeton Mathematical Series, 45, Princeton University Press, ISBN 978-0-691-03756-1, MR 1330919
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