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• W2962934663 abstract "We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy-Binet formula for the determinant of a product. As special cases we obtain elementary proofs of the Capelli identity from classical invariant theory and of Turnbull's Capelli-type identities for symmetric and antisymmetric matrices." @default.
• W2962934663 created "2019-07-30" @default.
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• W2962934663 date "2009-08-07" @default.
• W2962934663 modified "2023-09-26" @default.
• W2962934663 title "Noncommutative determinants, Cauchy&ndash;Binet formulae, and Capelli-type identities I. Generalizations of the Capelli and Turnbull identities" @default.
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• W2962934663 doi "https://doi.org/10.37236/192" @default.
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