14 citations · 59 across the 17 of their papers we have counts for
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The minimal counterexample to James's conjecture
Liron Speyer
In 2017, Geordie Williamson proved the existence of counterexamples to James's conjecture on the decomposition matrices of symmetric groups and their Hecke algebras. The smallest c…
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…
Morita equivalences between cyclotomic KLR algebras in types and
Chris Bowman, Robert Muth, Liron Speyer +1
We prove that level one cyclotomic KLR algebras in type are graded Morita equivalent to level two cyclotomic KLR algebras in type . We hence…
Wild blocks of type Hecke algebras are strictly wild
Liron Speyer
We prove that all wild blocks of type Hecke algebras with quantum characteristic -- i.e. blocks of weight at least -- are strictly wild, with the possible e…
A skew Specht perspective of RoCK blocks and cuspidal systems for KLR algebras in affine type A
Robert Muth, Thomas Nicewicz, Liron Speyer +1
Cuspidal systems parameterize KLR algebra representations via root partitions , where simple modules arise as heads of proper standard modules. Working in affine type A w…
Schurian-finiteness of blocks of type Hecke algebras II
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-…
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-…
Decomposable Specht modules indexed by bihooks II
Robert Muth, Liron Speyer, Louise Sutton
Previously, the last two authors found large families of decomposable Specht modules labelled by bihooks, over the Iwahori--Hecke algebra of type . In most cases we conjectured…
Strong Gelfand subgroups of
Mahir Bilen Can, Yiyang She, Liron Speyer
The multiplicity-free subgroups (strong Gelfand subgroups) of wreath products are investigated. Various useful reduction arguments are presented. In particular, we show that for ev…
Decomposable Specht modules indexed by bihooks
Liron Speyer, Louise Sutton
We study the decomposability of Specht modules labelled by bihooks, bipartitions with a hook in each component, for the Iwahori--Hecke algebra of type . In all characteristics,…
On the semisimplicity of the cyclotomic quiver Hecke algebra of type C
Liron Speyer
We provide criteria for the cyclotomic quiver Hecke algebras of type C to be semisimple. In the semisimple case, we construct the irreducible modules.
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…
An analogue of row removal for diagrammatic Cherednik algebras
Chris Bowman, Liron Speyer
We prove an analogue of James-Donkin row removal theorems for arbitrary diagrammatic Cherednik algebras. This is one of the first results concerning the (graded) decomposition numb…
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…
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.
Generalised column removal for graded homomorphisms between Specht modules
Matthew Fayers, Liron Speyer
Let be a positive integer, and let denote the affine KLR algebra in type A. Kleshchev, Mathas and Ram have given a homogeneous presentation for graded column Sp…
Decomposable Specht modules for the Iwahori-Hecke algebra
Liron Speyer
Let denote the Specht module defined by Dipper and James for the Iwahori-Hecke algebra of the symmetric group . When we determine the de…