Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584563 | Journal of Algebra | 2015 | 27 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Claudia Malvenuto, Pierluigi Möseneder Frajria, Luigi Orsina, Paolo Papi,