FREE ARRANGEMENTS AND NICE PARTITIONS
نویسندگان
چکیده
منابع مشابه
Nice Reflection Arrangements
The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomial groups G(r, r, 3) for r > 3 give rise to nice reflection arrangements. As a consequence of this and of the classification of all inductively free reflection arrangements from Hoge and Röhrle (2015) we deduce that th...
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In [5], Hoge and the second author classified all nice and all inductively factored reflection arrangements. In this note we extend this classification by determining all nice and all inductively factored restrictions of reflection arrangements.
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We show structural properties of the system of ordered partitions of [n] := {1, . . . , n} all of whose left-to-right minima occur in odd locations, called left-to-right arrangements. Our main objectives are (i) to show that the set of all finite left-to-right arrangements is a projective system under a natural choice of restriction operation, (ii) to establish a non-trivial embedding of set pa...
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Voiculescu's free probability theory { which was introduced in an operator algebraic context, but has since then developed into an exciting theory with a lot of links to other elds { has an interesting combinatorial facet: it can be described by the combinatorial concept of multiplicative functions on the lattice of non-crossing partitions. In this survey I want to explain this connection { wit...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2002
ISSN: 1225-1763
DOI: 10.4134/ckms.2002.17.3.439