Non-commutative extensions of the MacMahon Master Theorem

DOI10.1016/j.aim.2007.05.020zbMath1154.81018arXivmath/0607737OpenAlexW2050993850MaRDI QIDQ2456213

Igor Pak, Matjaž Konvalinka

Publication date: 17 October 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607737

zbMATH Keywords

q-analoguesMacMahon Master Theorem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

Interview with Igor Pak ⋮ The Hafnian master theorem ⋮ A noncommutative weight-dependent generalization of the binomial theorem ⋮ An algebraic extension of the MacMahon Master Theorem ⋮ \((\mathfrak{gl}_M, \mathfrak{gl}_N)\)-dualities in Gaudin models with irregular singularities ⋮ \(N\)-homogeneous superalgebras. ⋮ A basis for the right quantum algebra and the ``\(1= q\) principle ⋮ Whitney numbers for poset cones ⋮ COMBINATORICS AND N-KOSZUL ALGEBRAS ⋮ Algebraic properties of Manin matrices. II: \(q\)-analogues and integrable systems

Uses Software

• QuantumMACMAHON

Cites Work

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