Immanants, Schur functions, and the MacMahon master theorem
نویسندگان
چکیده
منابع مشابه
The quantum MacMahon Master Theorem.
We state and prove a quantum generalization of MacMahon's celebrated Master Theorem and relate it to a quantum generalization of the boson-fermion correspondence of physics.
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We consider a number of generalizations of the β-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations or derangements over matrix or submatrix indices.
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We study some specializations and extensions of the quantum version of the MacMahon Master Theorem derived by Garoufa-lidis, Lê and Zeilberger. In particular, we obtain a (t, q)-analogue for the Cartier-Foata noncommutative version and a semi-strong (t, q)-analogue for the contextual algebra. R ´ ESUMÉ. Nousétudions certaines spécialisations et extensions de la version quantique du " Master The...
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We present a new algebraic extension of the classical MacMahon Master Theorem. The basis of our extension is the Koszul duality for non-quadratic algebras defined by Berger. Combinatorial implications are also discussed.
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We present several non-commutative extensions of the MacMahon Master Theorem, further extending the results of Cartier-Foata and Garoufalidis-LêZeilberger. The proofs are combinatorial and new even in the classical cases. We also give applications to the β-extension and Krattenthaler-Schlosser’s q-analogue. Introduction The MacMahon Master Theorem is one of the jewels in enumerative combinatori...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1992
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1992-1086326-5