An algebraic extension of the MacMahon Master Theorem

DOI10.1090/S0002-9939-08-09017-5zbMath1191.05018arXivmath/0608005OpenAlexW1991193324MaRDI QIDQ3508048

Igor Pak, Pavel I. Etingof

Publication date: 27 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608005

zbMATH Keywords

Koszul dualityMacMahon Master Theoremnon-quadratic algebras

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quadratic and Koszul algebras (16S37)

Related Items (7)

Algebraic properties of Manin matrices. I ⋮ The Hafnian master theorem ⋮ A numerical criterion for the generalized Koszul property. ⋮ Non-commutative extensions of the MacMahon Master Theorem ⋮ \(N\)-homogeneous superalgebras. ⋮ A basis for the right quantum algebra and the ``\(1= q\) principle ⋮ COMBINATORICS AND N-KOSZUL ALGEBRAS

Uses Software

• QuantumMACMAHON

Cites Work

• A new proof of the Garoufalidis-Lê-Zeilberger quantum MacMahon master theorem
• Specializations and extensions of the quantum MacMahon master theorem
• Non-commutative extensions of the MacMahon Master Theorem
• Koszul algebras and the quantum MacMahon master theorem
• Laguerre Polynomials, Weighted Derangements, and Positivity
• The quantum MacMahon Master Theorem
• Koszulity for nonquadratic algebras.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An algebraic extension of the MacMahon Master Theorem