Specht modules labelled by hook bipartitions II

Abstract

We continue the study of Specht modules labelled by hook bipartitions for the Iwahori--Hecke algebra of type $B$ with $e\in \{3,4,\dots \}$ via the cyclotomic Khovanov--Lauda--Rouquier algebra ${\mathcal{H}}_n^{\Lambda }$. Over an arbitrary field, we explicitly determine the graded decomposition submatrices for ${\mathcal{H}}_n^{\Lambda }$ comprising rows corresponding to hook bipartitions.

arXiv comment54 pages, comments are welcome; v2 extends the introduction and significantly shortens the paper