Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell +1}$

DOI10.1090/tran/6411zbMath1395.16008arXiv1305.6367OpenAlexW2963357746MaRDI QIDQ2790589

Euiyong Park, Susumu Ariki

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6367

zbMATH Keywords

Auslander-Reiten quiverquiver Hecke algebras

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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 (9)

Representation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\) ⋮ Representation type of cyclotomic quiver Hecke algebras of type \(A_\ell^{(1)}\) ⋮ Cellularity for weighted KLRW algebras of types B$B$, A(2)$A^{(2)}$, D(2)$D^{(2)}$ ⋮ On the semisimplicity of the cyclotomic quiver Hecke algebra of type 𝐶 ⋮ Young walls and graded dimension formulas for finite quiver Hecke algebras of type \(A^{(2)}_{2\ell}\) and \(D^{(2)}_{\ell+1}\) ⋮ Representation type for block algebras of Hecke algebras of classical type ⋮ From Brauer graph algebras to biserial weighted surface algebras ⋮ Cyclotomic quiver Hecke algebras corresponding to minuscule representations ⋮ Weakly symmetric biserial algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation type of finite quiver Hecke algebras of type \(A_{2\ell}^{(2)}\).
• Group algebras of polynomial growth
• Crystals from categorified quantum groups
• Frobenius algebras. I: Basic representation theory.
• Classification of two-term tilting complexes over Brauer graph algebras
• Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
• Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras
• Solitons and infinite dimensional Lie algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• Tame biserial algebras
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Galois coverings of representation-infinite algebras
• Selfinjective algebras of polynomial growth
• Selfinjective biserial standard algebras
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• The crystal base and Littelmann's refined Demazure character formula
• Derived categories and stable equivalence
• Tameness of biserial algebras
• Representation type of Hecke algebras of type 𝐴
• A diagrammatic approach to categorification of quantum groups II
• Representation Type of Finite Quiver Hecke Algebras of TypeA⁽¹⁾_ℓfor Arbitrary Parameters
• A diagrammatic approach to categorification of quantum groups I
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras
• Algebras stably equivalent to selfinjective special biserial algebras
• CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
• Derived Equivalences As Derived Functors
• An introduction to diagrammatic algebra and categorified quantum sl(2)

This page was built for publication: Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell +1}$