Remark 1
Tag 0AT5, permanent. Cite it as [Bourbaki, Tag 0AT5].
Lie Groups and Lie Algebras, chapter V, § 5. Invariants in the symmetric algebra
Under the assumptions of Th. 4, the product of the characteristic degrees of R is q (formula (6) and Prop. 2 (iii)), so they are coprime to the characteristic of K. This was asserted in no. 3.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Nothing.