| Autor: |
Guilhot, Jérémie, Jacon, Nicolas |
| Zdroj: |
Journal of Algebraic Combinatorics; Feb2015, Vol. 41 Issue 1, p157-183, 27p |
| Abstrakt: |
Let $$\text {Irr}(W)$$ be the set of irreducible representations of a finite Weyl group $$W$$ . Following an idea from Spaltenstein, Geck has recently introduced a preorder $$\preceq _L$$ on $$\text {Irr}(W)$$ in connection with the notion of Lusztig families. In a later paper with Iancu, they have shown that in type $$B$$ (in the asymptotic case and in the equal parameter case) this preorder coincides with the preorder on Lusztig symbols as defined by Geck and the second author in . In this paper, we show that this characterisation extends to the so-called integer case, that is, when the ratio of the parameters is an integer. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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