Uglov bipartitions and extended Young diagrams
The electronic journal of combinatorics, Tome 26 (2019) no. 3
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.
DOI :
10.37236/8559
Classification :
20C08, 05E10, 17B37
Affiliations des auteurs :
Nicolas Jacon  1
@article{10_37236_8559,
author = {Nicolas Jacon},
title = {Uglov bipartitions and extended {Young} diagrams},
journal = {The electronic journal of combinatorics},
year = {2019},
volume = {26},
number = {3},
doi = {10.37236/8559},
zbl = {1512.20015},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8559/}
}
Nicolas Jacon. Uglov bipartitions and extended Young diagrams. The electronic journal of combinatorics, Tome 26 (2019) no. 3. doi: 10.37236/8559
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