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- W4299347172 abstract "We show that the distribution of the major index over the set of involutions in S_n that avoid the pattern 321 is given by the q-analogue of the n-th central binomial coefficient. The proof consists of a composition of three non-trivial bijections, one being the Robinson-Schensted correspondence, ultimately mapping those involutions with major index m into partitions of m whose Young diagram fits inside an n/2 by n/2 box. We also obtain a refinement that keeps track of the descent set, and we deduce an analogous result for the comajor index of 123-avoiding involutions." @default.
- W4299347172 created "2022-10-02" @default.
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- W4299347172 date "2014-01-13" @default.
- W4299347172 modified "2023-10-18" @default.
- W4299347172 title "Descent sets on 321-avoiding involutions and hook decompositions of partitions" @default.
- W4299347172 doi "https://doi.org/10.48550/arxiv.1401.3011" @default.
- W4299347172 hasPublicationYear "2014" @default.
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