22 citations · 116 across the 32 of their papers we have counts for
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Schurian-finiteness of blocks of type B Hecke algebras
Susumu Ariki, Sinéad Lyle, Liron Speyer +1
Schurian-finiteness, also known as -tilting finiteness, is equivalent to the finiteness of various representation theoretic objects such as wide subcategories. The first three a…
Representation type of higher level cyclotomic quiver Hecke algebras in affine type C
Susumu Ariki, Berta Hudak, Linliang Song +1
We determine the representation type of cyclotomic quiver Hecke algebras of affine type C. In the tame cases, we explicitly describe their basic algebras under the assumption $\tex…
Representation type of cyclotomic quiver Hecke algebras of type
Susumu Ariki, Linliang Song, Qi Wang
We first investigate a connected quiver consisting of all dominant maximal weights for an integrable highest weight module in affine type A. This quiver provides an efficient metho…
Schurian-finiteness of blocks of type Hecke algebras
Susumu Ariki, Sinéad Lyle, Liron Speyer
For any algebra over an algebraically closed field , we say that an -module is Schurian if . We say that is Schurian-…
Tame block algebras of Hecke algebras of classical type
Susumu Ariki
We classify tame block algebras of Hecke algebras of classical type over an algebraically closed field of odd characteristic.
Self-injective cellular algebras of polynomial growth representation type
Susumu Ariki, Ryoichi Kase, Kengo Miyamoto +1
We classify Morita equivalence classes of indecomposable self-injective cellular algebras which have polynomial growth representation type, assuming that the base field has an odd…
Specht modules for quiver Hecke algebras of type
Susumu Ariki, Euiyong Park, Liron Speyer
We construct and investigate Specht modules for cyclotomic quiver Hecke algebras in type and , which are labelled by multipartitions . I…
Representation type for block algebras of Hecke algebras of classical type
Susumu Ariki
We find representation type of the cyclotomic quiver Hecke algebras of level two in affine type A. In particular, we have determined representation type for all the block algebras…
Representation type of finite quiver Hecke algebras of type
Susumu Ariki, Euiyong Park
We give a graded dimension formula described in terms of combinatorics of Young diagrams and a simple criterion to determine the representation type for the finite quiver Hecke alg…
Representation type of finite quiver Hecke algebras of type for arbitrary parameters
Susumu Ariki, Kazuto Iijima, Euiyong Park
We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras of affine type . Note that each finite quiver Hecke algebra lies in one parame…
Representation type of finite quiver Hecke algebras of type
Susumu Ariki, Euiyong Park
We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras of affine type , which tells their representation type. If is n…
Representation type of finite quiver Hecke algebras of type
Susumu Ariki, Euiyong Park
We study cyclotomic quiver Hecke algebras in type , where is the fundamental weight. The algebras are natural -type analogue of…
The modular branching rule for affine Hecke algebras of type A
Susumu Ariki, Nicolas Jacon, Cédric Lecouvey
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simpl…
Factorization of the canonical bases for higher level Fock spaces
Susumu Ariki, Nicolas Jacon, Cédric Lecouvey
The level l Fock space admits canonical bases G_e and G_\infty. They correspond to U_{v}(hat{sl}_{e}) and U_{v}(sl_{\infty})-module structures. We establish that the transition mat…
Graded -Schur algebras
Susumu Ariki
Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James' -Schur algebra, and prove a graded analogue of the Leclerc and Thibon's conjecture on th…
The modular branching rule for affine Hecke algebras of type A
Susumu Ariki, Nicolas Jacon, Cédric Lecouvey
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simpl…
Finite dimensional Hecke algebras
Susumu Ariki
These are notes prepared for ICRA workshop at Torun, Poland, August 2007. In the first part, we explain results on canonical basic sets by Geck and Jacon and propose a categorifica…
Dipper-James-Murphy's conjecture for Hecke algebras of type B
Susumu Ariki, Nicolas Jacon
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal gra…
On the tensor product of two basic representations of
Susumu Ariki, Victor Kreiman, Shunsuke Tsuchioka
Let be the set of level one -crystals, and consider the realization of using -restricted partitions. We prove a pur…
Proof of the modular branching rule for cyclotomic Hecke algebras
Susumu Ariki
We prove the modular branching rule of the cyclotomic Hecke algebras, which has remained open.
The representation type of Hecke algebras of type B
Susumu Ariki, Andrew Mathas
This paper determines the representation type of the Iwahori-Hecke algebras of type B when . In particular, we show that a single parameter non-semisimple Iwahori-Hecke a…