Partial mirror symmetry, lattice presentations and algebraic monoids

DOI10.1112/plms/pds068zbMath1297.20068arXiv1104.0090OpenAlexW2086434664MaRDI QIDQ2843976

Brent Everitt, J. B. Fountain

Publication date: 27 August 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0090

zbMATH Keywords

idempotentsCoxeter groupslatticesalgebraic monoidsconvex polytopeshyperplane arrangementsreductive monoidsRenner monoidsclassical monoidsCoxeter arrangement monoidspresentations of reflection monoids

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Inverse semigroups (20M18) Reflection groups, reflection geometries (51F15) Algebraic monoids (20M32)

Related Items (10)

Deletion-restriction for sheaf homology of graded atomic lattices ⋮ On groups generated by involutions of a semigroup. ⋮ Idempotents and one-sided units: lattice invariants and a semigroup of functors on the category of monoids ⋮ Product decompositions of semigroups induced by action pairs ⋮ Unnamed Item ⋮ The classification of maximal inverse monoids of matrices ⋮ A tribute to John B. Fountain ⋮ Partial symmetry, reflection monoids and Coxeter groups. ⋮ Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers ⋮ Quiver mutations and Boolean reflection monoids

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