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The linear case (a linear map V → W), is an alternating map by any sensible definition, as may be seen by the statement that every p-vector is alternating. The generalized Kronecker delta is a useful mechanism for producing a fully alternating tensor of any order, for example, but process this leaves scalars and order-1 tensors unchanged. I can imagine a reader seeking to answer the question "Is a vector alternating?" or "Is a linear map alternating?" Does anyone have language from a reference that allows us to naturally answer this question in the affirmative? —Quondum22:43, 1 September 2016 (UTC)[reply]
