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- W2053984313 abstract "Many enumeration problems concerning sequences emerge as special cases of the combinatorial interpretation of the identity tr log( I − B ) = log det( I − B ), where B is a matrix over the ring of formal power series with zero constant term. The identity is obtained from the well-known formula of Jacobi, namely, det( e A ) = e tr( A ) . The problems include the derangement problem, the Simon Newcomb problem, the Smirnov problem, the Ménage problem, and their various generalizations. A conjecture is obtained for the enumeration of sequences with no increasing p runs." @default.
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- W2053984313 date "1977-11-01" @default.
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- W2053984313 title "The combinatorial interpretation of the Jacobi identity from Lie algebras" @default.
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- W2053984313 doi "https://doi.org/10.1016/0097-3165(77)90016-4" @default.
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