The equational theory of the weak Bruhat order on finite symmetric groups

DOI10.4171/JEMS/804zbMath1450.06001WikidataQ129718461 ScholiaQ129718461MaRDI QIDQ1664349

Friedrich Wehrung, Luigi Santocanale

Publication date: 24 August 2018

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

latticescoremonadic second-order logicdecidabilitydismantlable latticeidentitypermutohedronweak ordersubdirectly irreduciblebox productCambrian latticepolarized measureTamari latticesplitting identitysplitting latticebounded homomorphic imagesub-tensor product

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Lattice ideals, congruence relations (06B10) Second- and higher-order model theory (03C85) Varieties of lattices (06B20) Symmetric groups (20B30) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Free lattices, projective lattices, word problems (06B25)

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