Classification of irreducible $\mathfrak{u}$-diagonalizable $H_{\ell,n}$-modules
Representation Theory
2025-01-31 v1 Combinatorics
Abstract
We give a classification for the irreducible -diagonalizable representations of the degenerate affine Hecke algebra of type . Precisely we show that such -modules are indexed by -skew shapes and that the representation indexed by a skew shape has a basis of eigenvectors indexed by standard Young tableaux of shape .
Cite
@article{arxiv.2501.18446,
title = {Classification of irreducible $\mathfrak{u}$-diagonalizable $H_{\ell,n}$-modules},
author = {Elizabeth Manosalva P},
journal= {arXiv preprint arXiv:2501.18446},
year = {2025}
}