We investigate products J of ideals of “row initial” minors in the polynomial ring K [X ] defined by a generic m × n-matrix. The defining “shape” of J determines a set of “row initial” standard bitableaux that we call superstandard. They form a Gröbner basis of J , and J has a linear minimal free resolution. These results are used to derive a new generating set for the Grothendieck group of fin...

We provide a combinatorial proof for the coincidence of Knuth equivalence classes, Kazhdan–Lusztig left cells and Vogan classes for the symmetric group, involving only Robinson-Schensted algorithm and the combinatorial part of the Kazhdan–Lusztig cell theory. The determination of Kazhdan–Lusztig cells for the symmetric group is given in the proof of [4, Thm1.4]. The argument is largely combinat...

Article history: Received 22 December 2010 Available online xxxx

We introduce a group of periodic permutations, a new version of the infinite symmetric group. We then generalize and study the Robinson–Schensted correspondence for such permutations.

We introduce an analog of the Robinson Schensted algorithm for skew oscillating tableaux which generalizes the well-known correspondence for standard tableaux. We show that this new algorithm enjoys some of the same properties as the original. In particular, it is still true that replacing a permutation by its inverse exchanges the two output tableaux. These facts permit us to derive a number o...

Five New World species of Chrysotus Meigen are redescribed, four of them herein transferred from Diaphorus Meigen: C. angustifrons (Robinson), comb.nov., C. maculatus (Parent), comb.nov. (= D. maculipennis Robinson), C. robustus (Robinson), comb.nov., C. spectabilis (Loew) and C. wirthi (Robinson), comb.nov. The female of C. maculatus is described for the first time. Terminalia of both males an...