5 papers
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…
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…
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…