RSK bases and Kazhdan-Lusztig cells

Details RSK bases and Kazhdan-Lusztig cells RSK bases and Kazhdan-Lusztig cells

2009-02-17

arxiv.org/abs/0902.2842v3

Mathematics

Representation Theory

31 pages, latex; version 2 differs substantially in exposition from version 1; for version 3: added important references, corr

Scientific paper

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.

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