A classification of mahonian maj-inv statistics

Indeed, [4] proved Theorem 1.10 using standard rim hook tableaux instead of character evaluations, though virtually every application of their result uses the

Finally, in Section 4, we prove that the set of subexcedent words in S n , n is related to ternary trees and Dumont permutations of the second kind [12] avoiding the classical

In the present paper we derive a general equidistribution property on Euler-Mahonian set-valued statistics on permutations, which unifies the above four refinements.. We also state

As for the symmetric group of ordinary permutations there is also a statistical study of the group of signed permutations, that consists of calculating multi- variable

1 Keywords: Flag, weighted flag, multiflag, Weyl group, Bruhat decomposition, sym- metric group, hyperoctahedral group, Mahonian statistic, Major index, Euler

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Towards ameliorating this we in- troduce the BLIINDS index (BLind Image Integrity Notator using DCT Statistics) which is a no-reference approach to image quality assessment that