On simple modules of cyclotomic quiver Hecke algebras of type A

DOI10.1016/j.aim.2021.107852OpenAlexW3184418772MaRDI QIDQ822690

Alexander Ferdinand Kerschl

Publication date: 23 September 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05375

zbMATH Keywords

Khovanov-Lauda-Rouquier algebrasquiver Hecke algebrasdiagrammatic Cherednik algebrasDipper-James-Murphy conjecture

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Representation theory of groups (20Cxx) Algebraic combinatorics (05Exx)

Related Items (2)

The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ Skew cellularity of the Hecke algebras of type 𝐺(ℓ,𝑝,𝑛)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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.
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Cellular algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Kleshchev multipartitions and extended Young diagrams
• Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
• Quiver Hecke Algebras and 2-Lie Algebras
• Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type B n
• A diagrammatic approach to categorification of quantum groups I
• ROUQUIER’S CONJECTURE AND DIAGRAMMATIC ALGEBRA
• Hecke Algebras of Type B_n at Roots of Unity
• Graded Specht modules
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

This page was built for publication: On simple modules of cyclotomic quiver Hecke algebras of type A