Uglov Bipartitions and Extended Young Diagrams

  • Nicolas Jacon
DOI: https://doi.org/10.37236/8559

Abstract

We study the class of Uglov bipartitions and prove a generalization of a conjecture by Dipper, James and Murphy. We give two consequences concerning the computation of canonical bases in affine type $A$ and the description of decomposition matrices for Hecke algebras of type $B_n$ in arbitrary characteristic.

Published
2019-07-19
Issue
Volume 26, Issue 3 (2019)
Article Number
P3.14