Bourbaki

Definition 2

Tag 06CW, permanent. Cite it as [Bourbaki, Tag 06CW].

Algebra, IV, p. 45, § 5. Symmetric tensors and polynomial mappings

If x∈Mx \in M, the element x⊗x⊗…⊗xx \otimes x \otimes \ldots \otimes x of TSk(M)\mathbf{TS}^k(M) is denoted by γk(x)\gamma_k(x).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

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Transcribed from the printed edition, 2003, Springer. Not translated.