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: Er, my point is that there are bad things they can do with it which don't necessarily involve selling it to other companies.
gollark: Google also had that whole thing with tracking locations even when that was disabled.
gollark: So you're just hoping that evil governments will also be incompetent?
gollark: Also, you live in Turkey, which has a kind of evil government, right? If Google cooperated with them, they could probably use that data to track down and/or identify dissidents.
gollark: I think they already use location data to "help" investigate crimes, in ways which tend to implicate innocent people randomly.
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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