A Study of the representations supported by the orbit closure of the determinant
classification
🧮 math.RT
math.AG
keywords
validityclosureconjecturedeterminantlatinorbitrepresentationssquare
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We show the existence of a large family of representations supported by the orbit closure of the determinant. However, the validity of our result is based on the validity of the celebrated `Latin Square Conjecture' due to Alon-Tarsi or more precisely on the validity of an equivalent `column Latin Square Conjecture' due to Huang-Rota.
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