RSK bases and Kazhdan-Lusztig cells
Representation Theory
2011-01-21 v3 Combinatorics
Abstract
From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, 'RSK bases' are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory of the symmetric group are discussed.
Keywords
Cite
@article{arxiv.0902.2842,
title = {RSK bases and Kazhdan-Lusztig cells},
author = {K. N. Raghavan and Preena Samuel and K. V. Subrahmanyam},
journal= {arXiv preprint arXiv:0902.2842},
year = {2011}
}
Comments
31 pages, latex; version 2 differs substantially in exposition from version 1; for version 3: added important references, corrected typos, added comments suggested by referee, results unchanged