Determinantal formulas with major indices

DOI10.1090/proc/15624zbMath1475.05007arXiv2102.13005OpenAlexW3207448949WikidataQ113822947 ScholiaQ113822947MaRDI QIDQ5157786

Thomas McConville, Clifford D. Smyth, Donald Robertson

Publication date: 20 October 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13005

zbMATH Keywords

colored permutationssigned permutationsmajor index determinant formula

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05)

Cites Work

• Major indices and perfect bases for complex reflection groups.
• On the eigenvalues of representations of reflection groups and wreath products
• Realizability of a model in infinite statistics
• Advanced determinant calculus
• Signed permutation statistics
• Generalized riffle shuffles and quasisymmetric functions
• Bilinear form of real configuration of hyperplanes
• A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
• Advanced determinant calculus: a complement
• Noncommutative Symmetric Functions II: Transformations of Alphabets
• The flag major index and group actions on polynomial rings.
• Descent numbers and major indices for the hyperoctahedral group

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