Alpha-determinant cyclic modules of gl_n(C)
classification
🧮 math.RT
keywords
alpha-determinantcyclicdecompositionirreduciblecontentdefineddegeneracydeterminant
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The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of $gl_n(C)$ defined by the alpha-determinant. The degeneracy of the irreducible decomposition is determined by the content polynomial of a given partition.
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