Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities II. Grassmann and quantum oscillator algebra representation
نویسندگان
چکیده
منابع مشابه
Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities I. Generalizations of the Capelli and Turnbull identities
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.
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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.
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ژورنال
عنوان ژورنال: Annales de l’Institut Henri Poincaré D
سال: 2014
ISSN: 2308-5827
DOI: 10.4171/aihpd/1