Overlapping Pfaffians
From MaRDI portal
Publication:1918880
zbMath0862.15007arXivmath/9503234MaRDI QIDQ1918880
Publication date: 21 July 1996
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9503234
determinantidentities for determinantsPfaffianperfect matchingsantisymmetric matrixskew-symmetric Blaschke operator
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items
Tiling enumeration of hexagons with off-central holes, Proof of a conjecture of Kenyon and Wilson on semicontiguous minors, The combinatorial approach yields an NC algorithm for computing Pfaffians, Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices, Three Takes on Almost Complete Intersection Ideals of Grade 3, A quadratic identity for the number of perfect matchings of plane graphs, Generalized Sylvester formulas and skew Giambelli identities, Faster combinatorial algorithms for determinant and Pfaffian, Replacing Pfaffians and applications, Symplectic and supersymmetric Schur Q-functions, universal characters and integrable hierarchies, Half-space stationary Kardar-Parisi-Zhang equation, Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order, Monomial complete intersections, the weak Lefschetz property and plane partitions, Alternating forms and transitive locally grid geometries, Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians, Pfaffian decomposition and a Pfaffian analogue of \(q\)-Catalan Hankel determinants, \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions, \(K\)-theoretic Chern class formulas for vexillary degeneracy loci, Spinor structures on free resolutions of codimension four Gorenstein ideals, Initial degenerations of spinor varieties, A simple division-free algorithm for computing determinants, The Tor algebra of trimmings of Gorenstein ideals, A generalization of Schur's \(P\)- and \(Q\)-functions, Multiply-refined enumeration of alternating sign matrices, Laurent skew orthogonal polynomials and related symplectic matrices, Faster Combinatorial Algorithms for Determinant and Pfaffian, Tracy-Widom distributions for the Gaussian orthogonal and symplectic ensembles revisited: a skew-orthogonal polynomials approach, Generalizations of Cauchy's determinant and Schur's Pfaffian, QUANTISATION SPACES OF CLUSTER ALGEBRAS, Minor summation formula and a proof of Stanley's open problem, Pfaffians and the inverse problem for collinear central configurations, Pfaffian identities: A combinatorial approach, Logarithmic and Complex Constant Term Identities, Pfaffians and representations of the symmetric group, Chern class formulas for classical-type degeneracy loci, A simple explanation for the ``shuffling phenomenon for lozenge tilings of dented hexagons, Minors of a skew symmetric matrix: A combinatorial approach, Determinant structure for \(\tau\)-function of holonomic deformation of linear differential equations, Generalised Gelfand-Graev representations in bad characteristic ?, On the determinantal structure of conditional overlaps for the complex Ginibre ensemble, Double eta polynomials and equivariant Giambelli formulas, The partition function of the Bures ensemble as theτ-function of BKP and DKP hierarchies: continuous and discrete, Lozenge tilings of hexagons with central holes and dents, The combinatorics of a class of representation functions, Pfaffian formulas and Schur \(Q\)-function identities, Advanced determinant calculus: a complement, Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities, Graphical condensation of plane graphs: a combinatorial approach
