The major index polynomial for conjugacy classes of permutations

Michelle L. Wachs

doi:10.1016/0012-365X(90)90237-C

The major index polynomial for conjugacy classes of permutations

Michelle L. Wachs

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Garsia (1988) gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.

Original language	English (US)
Pages (from-to)	283-293
Number of pages	11
Journal	Discrete Mathematics
Volume	91
Issue number	3
DOIs	https://doi.org/10.1016/0012-365X(90)90237-C
State	Published - Sep 12 1991

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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abstract = "Garsia (1988) gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.",

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The major index polynomial for conjugacy classes of permutations

Abstract

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