Representation type for block algebras of Hecke algebras of classical type

DOI10.1016/j.aim.2017.07.018zbMath1368.05155arXiv1512.06358OpenAlexW2964217658MaRDI QIDQ2014012

Susumu Ariki

Publication date: 10 August 2017

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

Full work available at URL: https://arxiv.org/abs/1512.06358

zbMATH Keywords

Hecke algebrarepresentation typeBrauer tree algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08)

Related Items (5)

Derived equivalence classification of Brauer graph algebras ⋮ Brauer graph algebras are closed under derived equivalence ⋮ Representation type of cyclotomic quiver Hecke algebras of type \(A_\ell^{(1)}\) ⋮ The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups ⋮ TAME BLOCK ALGEBRAS OF HECKE ALGEBRAS OF CLASSICAL TYPE

Cites Work

• Unnamed Item
• Unnamed Item
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• Representation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\)
• Representation type of finite quiver Hecke algebras of type \(A_{2\ell}^{(2)}\).
• Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
• Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras
• Graded decomposition numbers for cyclotomic Hecke algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• Representations of Hecke algebras of type \(B_n\)
• Blocks of tame representation type and related algebras
• On representations of non-semisimple specialized Hecke algebras
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Stable equivalence preserves representation type
• Derived categories and stable equivalence
• Self-injective cellular algebras whose representation type are tame of polynomial growth
• Hecke algebras of finite type are cellular.
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• Blocks of cyclotomic Hecke algebras.
• On the center of quiver Hecke algebras
• Representation type of Hecke algebras of type 𝐴
• Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell +1}$
• HECKE ALGEBRAS OF CLASSICAL TYPE AND THEIR REPRESENTATION TYPE (Proc. London Math. Soc. (3) 91 (2005) 355–413)
• Representation Type of Finite Quiver Hecke Algebras of TypeA⁽¹⁾_ℓfor Arbitrary Parameters
• Brauer trees of hecke algebras
• Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations

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