A scheme related to the Brauer loop model

DOI10.1016/j.aim.2006.09.016zbMath1193.14068arXivmath/0503224OpenAlexW2074703608MaRDI QIDQ2642042

Allen Knutson, Paul Zinn-Justin

Publication date: 20 August 2007

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

Full work available at URL: https://arxiv.org/abs/math/0503224

zbMATH Keywords

Brauer algebraintegrable modelscommuting varietychord diagramsmultidegreesBrauer loop model

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Special varieties (14M99) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (13)

Quiver varieties and the quantum Knizhnik-Zamolodchikov equation ⋮ Shuffle algebras, lattice paths and the commuting scheme ⋮ Type \(\widehat{\mathrm C}\) Brauer loop schemes and loop model with boundaries ⋮ Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups ⋮ Loop models and \(K\)-theory ⋮ Characteristic classes of Borel orbits of square-zero upper-triangular matrices ⋮ An unexpected cyclic symmetry of \(I \mathfrak{u}_n\) ⋮ On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra ⋮ The Brauer loop scheme and orbital varieties ⋮ Combinatorial point for fused loop models ⋮ Degree of the variety of pairs of nilpotent commuting matrices ⋮ Gröbner geometry of vertex decompositions and of flagged tableaux ⋮ Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics

Cites Work

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• Differential Operators on a Semisimple Lie Algebra
• On some integrals over theU(N) unitary group and their largeNlimit
• Intersecting Loop Model as a Solvable Super Spin Chain
• Some schemes related to the commuting variety
• The planar approximation. II
• THE COHOMOLOGY RING OF G/T

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