On the Varchenko determinant formula for oriented braid arrangements

DOI10.21857/moxpjh1l0mzbMath1526.52017MaRDI QIDQ6065731

Milena Sosic

Publication date: 15 November 2023

Published in: Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti (Search for Journal in Brave)

zbMATH Keywords

arrangements of hyperplanesbraid arrangementquantum bilinear formmultiparametric quon algebraoriented braid arrangements

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Arrangements of hyperplanes and Lie algebra homology
• Realizability of a model in infinite statistics
• The determinant formula for a matroid bilinear form
• Faces of a hyperplane arrangement enumerated by ideal dimension, with application to plane, plaids, and Shi
• Bilinear form of real configuration of hyperplanes
• The ideals of free differential algebras
• A multiparametric quon algebra
• The Varchenko determinant for oriented matroids
• Topics in Hyperplane Arrangements
• Hyperplane arrangements, interval orders, and trees.

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