We compute for reflection groups of type A,B,D,F4,H3 and for dihedral groups a statistic counting the maximal cardinality of a set of elements in the group whose generalized inversions yield the full set of inversions and which are minimal with respect to this property. We also provide lower bounds for the E types that we conjecture to be the exact value of our statistic.
The maximum cardinality of minimal inversion complete sets in finite reflection groups / Malvenuto, Claudia; P., Moseneder Frajria; Orsina, Luigi; Papi, Paolo. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 424:(2015), pp. 330-356. [10.1016/j.jalgebra.2014.09.033]
The maximum cardinality of minimal inversion complete sets in finite reflection groups
MALVENUTO, Claudia;ORSINA, Luigi;PAPI, Paolo
2015
Abstract
We compute for reflection groups of type A,B,D,F4,H3 and for dihedral groups a statistic counting the maximal cardinality of a set of elements in the group whose generalized inversions yield the full set of inversions and which are minimal with respect to this property. We also provide lower bounds for the E types that we conjecture to be the exact value of our statistic.| File | Dimensione | Formato | |
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