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Dec 10, 2021 at 17:54 comment added kryomaxim I would like to know the all derivatives, not just the invariant ones.
Dec 10, 2021 at 17:43 comment added paul garrett (Yes, I did infer that you meant "$\delta$ at $1$ on $G$", though I wouldn't write it as a subtraction. But/and do you really need all derivatives with respect to the universal enveloping algebra, or maybe just invariant ones, etc?)
Dec 10, 2021 at 17:24 comment added kryomaxim I mean derivatives of delta functions where as an argument a group is passed.
Dec 10, 2021 at 17:12 comment added paul garrett Of course, general derivatives of $\delta$ are not conjugation-invariant... but, for example, $\Omega^k\delta$, with $\Omega$ the Casimir operator, have such expressions. Otherwise I don't see anything better than your natural derivative expressions. Can you clarify?
Dec 10, 2021 at 12:49 history asked kryomaxim CC BY-SA 4.0