Analogue of the identity Log Det = Trace Log for resultants

DOI10.1016/j.geomphys.2010.12.001zbMath1214.15005arXiv0804.4632OpenAlexW2963443706MaRDI QIDQ627219

Sh. R. Shakirov, A. Yu. Morozov

Publication date: 21 February 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4632

zbMATH Keywords

determinantspolynomialsSchur polynomialresultantnon-Gaussian integralsnon-linear algebra

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Polynomials in general fields (irreducibility, etc.) (12E05)

Related Items (20)

Algebraic properties of Manin matrices. I ⋮ The resultant as the determinant of a Koszul complex ⋮ Colored HOMFLY and generalized Mandelbrot set ⋮ The cyclic index of adjacency tensor of generalized power hypergraphs ⋮ Resultants and contour integrals ⋮ A combinatorial method for computing characteristic polynomials of starlike hypergraphs ⋮ Estrada index and subgraph centrality of hypergraphs via tensors ⋮ The characteristic polynomials of uniform double hyperstars and uniform hypertriangles ⋮ The trace and Estrada index of uniform hypergraphs with cut vertices ⋮ The high order spectrum of a graph and its applications in graph colouring and clique counting ⋮ Spectra of uniform hypergraphs ⋮ On some properties of the determinants of tensors ⋮ Complanart of a system of polynomial equations ⋮ Some spectral properties of uniform hypergraphs ⋮ The stabilizing index and cyclic index of the coalescence and Cartesian product of uniform hypergraphs ⋮ Some new trace formulas of tensors with applications in spectral hypergraph theory ⋮ A Harary-Sachs theorem for hypergraphs ⋮ The resultant on compact Riemann surfaces ⋮ Melonic dominance and the largest eigenvalue of a large random tensor ⋮ The spectral symmetry of weakly irreducible nonnegative tensors and connected hypergraphs

Cites Work

• Unnamed Item
• Unnamed Item
• Resultants and contour integrals
• Exact solution for mean energy of 2d Dyson gas at \(\beta = 1\)
• Measuring small distances in \(N=2\) sigma models
• Groups of flagged homotopies and higher gauge theory
• q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• Integrability and matrix models
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II

This page was built for publication: Analogue of the identity Log Det = Trace Log for resultants