Join operation for the Bruhat order and Verma modules

DOI10.1007/S11856-024-2637-6MaRDI QIDQ6635142

Volodymyr Mazorchuk, Hankyung Ko, Rafael Mrđen

Publication date: 9 November 2024

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

posetWeyl groupBruhat orderVerma moduleKazhdan-Lusztig polynomial

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

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• Parabolic projective functors in type \(A\)
• The Hodge theory of Soergel bimodules.
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• Some homological properties of the category \(\mathcal O\).
• Kazhdan-Lusztig conjecture and holonomic systems
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• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Bases for the Bruhat-Chevalley order on all finite Coxeter groups
• Order dimension, strong Bruhat order and lattice properties for posets
• Diagrams and essential sets for signed permutations
• CHEVIE -- A system for computing and processing generic character tables
• Bigrassmannian permutations and Verma modules
• Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces
• Simple transitive 2-representations of small quotients of Soergel bimodules
• Koszul Duality Patterns in Representation Theory
• Alternating sign matrices and Verma modules
• Introduction to Soergel Bimodules
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN
• Small resolutions of minuscule Schubert varieties

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