Given a group `$G$`

and two Gelfand subgroups `$H$`

and `$K$`

of `$G$`

, associated to an irreducible representation `$\pi$`

of `$G$`

, there is a notion of `$H$`

and `$K$`

being correlated with respect to `$\pi$`

in `$G$`

. This notion is defined by Benedict Gross in 1991. We discuss this theme and give some details in a specific example (which is joint work with Arindam Jana).

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Last updated: 30 May 2023