Specht modules for quiver Hecke algebras of type \(C\)

DOI10.4171/PRIMS/55-3-4zbMath1448.16016arXiv1703.06425MaRDI QIDQ2329641

Susumu Ariki, Liron Speyer, Euiyong Park

Publication date: 18 October 2019

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06425

zbMATH Keywords

Specht modulescategorificationcyclotomic quiver Hecke algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Representations of quivers and partially ordered sets (16G20)

Related Items (4)

Cuspidal ribbon tableaux in affine type A ⋮ On the semisimplicity of the cyclotomic quiver Hecke algebra of type 𝐶 ⋮ Piecewise dominant sequences and the cocenter of the cyclotomic quiver Hecke algebras ⋮ A remark on convolution products for quiver Hecke algebras

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\)
• Crystals from categorified quantum groups
• Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
• Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).
• Graded decomposition numbers for cyclotomic Hecke algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• Fock space representations of the quantized universal enveloping algebras \(U_ q(C^{(1)}_ l)\), \(U_ q(A^{(2)}_{2l})\), and \(U_ q(D^{(2)}_{l+1})\)
• Some combinatorial properties of Schubert polynomials
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Affinizations and R-matrices for quiver Hecke algebras
• Fock space representations and crystal bases for \(C_{n}^{(1)}\)
• Dyck tilings and the homogeneous Garnir relations for graded Specht modules
• A diagrammatic approach to categorification of quantum groups II
• Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1))
• Representation Type of Finite Quiver Hecke Algebras of TypeA⁽¹⁾_ℓfor Arbitrary Parameters
• Affine Cellularity of Khovanov–Lauda–Rouquier Algebras of Finite Types
• A diagrammatic approach to categorification of quantum groups I
• Representations of Hecke Algebras of General Linear Groups
• Generalized Quotients in Coxeter Groups
• On the semisimplicity of the cyclotomic quiver Hecke algebra of type 𝐶
• Universal graded Specht modules for cyclotomic Hecke algebras
• Graded Specht modules

This page was built for publication: Specht modules for quiver Hecke algebras of type \(C\)