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most citedDeep learning for cardiac image segmentation: A review

870 citations

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math.RT2020★ 4 cited

The Center of the Partition Algebra

Samuel Creedon

In this paper we show that the center of the partition algebra , in the semisimple case, is given by the subalgebra of supersymmetric polynomials in the normal…

math.RT2019★ 13 cited

Morita equivalence classes of blocks with elementary abelian defect groups of order 32

Cesare Giulio Ardito

We describe a general technique to classify blocks of finite groups, and we apply it to determine Morita equivalence classes of blocks with elementary abelian defect groups of orde…

math.RT2016★ 41 cited

Torsion pairs in silting theory

Lidia Angeleri Hügel, Frederik Marks, Jorge Vitória

In the setting of compactly generated triangulated categories, we show that the heart of a (co)silting t-structure is a Grothendieck category if and only if the (co)silting object…

math.RT2016★ 44 cited

A reduction theorem for -rigid modules

Florian Eisele, Geoffrey Janssens, Theo Raedschelders

We prove a theorem which gives a bijection between the support -tilting modules over a given finite-dimensional algebra and the support -tilting modules over , where…

math.RT2015★ 4 cited

Kleshchev's decomposition numbers for diagrammatic Cherednik algebras

Christopher Bowman, Liron Speyer

We construct a family of graded isomorphisms between certain subquotients of diagrammatic Cherednik algebras as the quantum characteristic, multicharge, level, degree, and weightin…

math.RT2015★ 3 cited

On graded decomposition numbers of Cherednik algebras

C. Bowman, A. G. Cox, L. Speyer

We provide an algorithmic description of a family of graded decomposition numbers for rational Cherednik algebras.

math.RT2006★ 23 cited

A geometric characterisation of the blocks of the Brauer algebra

Anton Cox, Maud De Visscher, Paul Martin

We give a geometric description of the blocks of the Brauer algebra in characteristic zero as orbits of the Weyl group of type . We show how the corresponding affine…

math.RT2006★ 7 cited

The blocks of the Brauer algebra in characteristic zero

Anton Cox, Maud De Visscher, Paul Martin

We determine the blocks of the Brauer algebra in characteristic zero. We also give information on the submodule structure of standard modules for this algebra.