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20072026
most citedA cellular algebra with certain idempotent decomposition

3 citations · 12 across the 17 of their papers we have counts for

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14 papers · 1 filter

math.RT2020★ 1 cited

Finite dimensional simple modules of -current algebras

Ryosuke Kodera, Kentaro Wada

The -current algebra associated with the general linear Lie algebra was introduced by the second author in the study of representation theory of cyclotomic -Sch…

math.RT2018★ 1 cited

On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras

Toshiro Kuwabara, Hyohe Miyachi, Kentaro Wada

In this paper, we shall establish the Mackey formulas in the following two set ups: (i) on the tensor induction and restriction functors on the modules over cyclotomic Hecke algebr…

math.RT2017★ 2 cited

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…

math.RT2017

Finite dimensional simple modules of deformed current Lie algebras

Kentaro Wada

The deformed current Lie algebra was introduced by the author to study the representation theory of cyclotomic q-Schur algebras at q=1. In this paper, we classify finite dimensiona…

math.RT2015

New realization of cyclotomic -Schur algebras I

Kentaro Wada

We introduce a Lie algebra and an associative algebra associated with the Cartan data of $\mathfrak…

math.RT2011★ 2 cited

Induction and Restriction Functors for Cyclotomic q-Schur Algebras

Kentaro Wada

We define the induction and restriction functors for cyclotomic q-Schur algebras, and study some properties of them. As an application, we categorify a higher level Fock space by u…