Determinantal formulas with major indices
Department
Mathematics
Document Type
Article
Publication Date
1-1-2021
Abstract
We give an elementary proof of a major index determinant formula discovered by Krattenthaler and first proved by Thibon using noncommutative symmetric functions. We do so by proving a factorization of an element in the group ring of the symmetric group. By applying similar methods to the groups of signed permutations and colored permutations, we prove determinantal formulas in these groups as conjectured by Krattenthaler.
Journal Title
Proceedings of the American Mathematical Society
Journal ISSN
00029939
Volume
149
Issue
12
First Page
5101
Last Page
5117
Digital Object Identifier (DOI)
10.1090/proc/15624
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