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Sep 13, 2017 at 7:01 comment added Vít Tuček Let me just add that analogous thing is true for $Sp(n)$ and the symplectic form. For details see again Symmetry and representation theory by Goodman and Wallach.
Sep 12, 2017 at 14:41 vote accept Dustin G. Mixon
Sep 12, 2017 at 13:56 comment added Friedrich Knop Well, "classical" means here "easy to find by searching the web". I found e.g. the Wikipedia article on "spherical harmonics" or section 5.6.4. of the book of Goodman-Wallach.
Sep 12, 2017 at 13:30 comment added darij grinberg "Classical" is nice. A reference is nicer :)
Sep 12, 2017 at 13:10 history edited Friedrich Knop CC BY-SA 3.0
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Sep 12, 2017 at 13:05 history answered Friedrich Knop CC BY-SA 3.0