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Oct 25, 2022 at 2:25 comment added Deepesh Singh I've asked this question in more detail here: mathoverflow.net/questions/432340/…
Oct 25, 2022 at 2:23 comment added Deepesh Singh Thanks for your answer, Vladimir. Would you also know of any references or methods that talk about how to derive the 'non-polynomial' invariants of SU(n) then? For example, I'm interested in the L2 norm and the Bombeiri norm of the complex coefficients of my original symmetric and homogenous polynomials - which are also SU(n) invariant. These norms are polynomials in not just the coefficients but also their complex conjugates. I can't see how they can be expressed as linear combinations of the SL(n,C) invariants which are polynomials only in the coefficients but not their complex conjugates.
Oct 6, 2022 at 7:11 vote accept Deepesh Singh
Oct 5, 2022 at 6:54 history answered Vladimir Dotsenko CC BY-SA 4.0