Yang-Baxter type equations and posets of maximal chains

DOI10.1006/jcta.1997.2775zbMath0922.52003OpenAlexW1997734925MaRDI QIDQ1369679

R. J. Lawrence

Publication date: 5 October 1999

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1997.2775

zbMATH Keywords

convex polyhedronYang-Baxter equationsarrangementpermutohedronintersection latticeposet of maximal chainsuniform extension poset

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Combinatorics of partially ordered sets (06A07) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

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Braids and crossed modules ⋮ The shuffle pasting

Cites Work

• On the number of reduced decompositions of elements of Coxeter groups
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Hecke algebra representations of braid groups and link polynomials
• Higher Bruhat orders connected with the symmetric group
• 2-categories and 2-knots
• Rhombic tilings of polygons and classes of reduced words in Coxeter groups
• The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation
• Integrable connections related to Manin and Schechtman's higher braid groups
• Simplex equations and their solutions
• Higher Bruhat orders and cyclic hyperplane arrangements
• Extension spaces of oriented matroids
• Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
• Star-triangle relation for a three-dimensional model
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