Louise Sutton

Accepted

SL_2 tilting modules in the mixed case, joint with Daniel Tubbenhauer, Paul Wedrich and Jieru Zhu, accepted in Selecta Mathematica. arXiv: 2105.07724.

Publications

Decomposable Specht modules indexed by bihooks II, joint with Robert Muth and Liron Speyer, Algebras and Representation Theory, 2021. arXiv: 2101.11175.

Kronecker positivity and 2-modular representation theory, joint with Christine Bessenrodt and Chris Bowman, Transactions of the AMS, Ser. B 8 (2021), 1024-1055. arXiv: 1903.07717.

Decomposable Specht modules indexed by bihooks, Pacific Journal of Mathematics, Volume 304, Number 2, Pages 655-711, February 2020, joint with Liron Speyer. arXiv: 1808.00949.

Specht modules labelled by hook bipartitions II, Journal of Pure and Applied Algebra, Volume 224, Issue 4, April 2020. arXiv: 1709.09251.

Specht modules labelled by hook bipartitions I, Journal of Algebra, Volume 515, 1 December 2018, Pages 456-510. arXiv: 1707.01851.

Projects in progress

Some bases and presentations of simple modules for level 2 cyclotomic KLR algebras (joint with Robert Muth and Liron Speyer). Following studying the structure of decomposable Specht modules indexed by bihooks, we investigate their composition factors. We connect these simple modules to skew Specht modules, and determine bases and presentations for these simple modules in the process.

Specht modules labelled by hook bipartitions with e=2. Using the above results on semisimplicity of Specht modules indexed by bihooks, we show that Specht modules indexed by hook bipartitions are filtered by these semisimple modules, up to isomorphism.

Thesis

My PhD thesis from 2017, Graded representations of Khovanov-Lauda-Rouquier algebras, is here.