Higher Bruhat orders connected with the symmetric group

DOI10.1007/BF01077278zbMath0646.20014OpenAlexW2004711255MaRDI QIDQ1103718

Yuri I. Manin, Vadim Schechtman

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077278

zbMATH Keywords

Coxeter relationslinear representationssymmetric groupYang-Baxter equationspartially ordered setsweak Bruhat ordermaximal chains

Mathematics Subject Classification ID

Partial orders, general (06A06) Representations of finite symmetric groups (20C30) Symmetric groups (20B30)

Related Items (15)

Algebras and triangle relations ⋮ Higher Bruhat orders connected with the symmetric group ⋮ Lexicographically first reduced words ⋮ Yang-Baxter type equations and posets of maximal chains ⋮ Free arrangements and rhombic tilings ⋮ The Berenstein-Kirillov group and cactus groups ⋮ Cubillages of cyclic zonotopes ⋮ The eight tetrahedron equations ⋮ Majority rule on rhombus tilings and Condorcet super-domains ⋮ Factorizations in Schubert cells ⋮ Acyclic sets of linear orders via the Bruhat orders ⋮ Integrable systems and gauge theories ⋮ Unnamed Item ⋮ Homotopy type of intervals of the second higher Bruhat orders ⋮ Simplex equations and their solutions

Cites Work

• Higher Bruhat orders connected with the symmetric group

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