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- W1799644974 abstract "The right-quantum algebra was introduced recently by Garoufalidis, L^e and Zeilberger in their quantum generalization of the MacMahon master theorem. A combinatorial proof of this identity due to Konvalinka and Pak, and also the recent proof of the right-quantum Sylvester's determinant identity, make heavy use of a bijection related to the first fundamental transformation on words introduced by Foata. This paper makes explicit the connection between this transformation and right-quantum linear algebra identities; applications include a new combinatorial proof of the right-quantum matrix inverse theorem, and two new results, the right-quantum Jacobi ratio theorem and a generalization of the right-quantum MacMahon master thorem." @default.
- W1799644974 created "2016-06-24" @default.
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- W1799644974 date "2007-03-07" @default.
- W1799644974 modified "2023-09-27" @default.
- W1799644974 title "A generalization of Foata's fundamental transformation and its applications to the right-quantum algebra" @default.
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