On the graded algebras associated with Hecke symmetries

DOI10.4171/JNCG/383zbMath1479.16041arXiv1903.06363MaRDI QIDQ2032772

Serge Skryabin

Publication date: 14 June 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06363

zbMATH Keywords

graded algebrasquantum groupsGorenstein algebrasKoszul algebrasFRT bialgebrasquantum symmetric algebrasHecke symmetriesquantum Hom-spaces

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37) Ring-theoretic aspects of quantum groups (16T20)

Related Items (2)

On the graded algebras associated with Hecke symmetries. II: The Hilbert series ⋮ Hecke symmetries: an overview of Frobenius properties

Cites Work

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• Combinatorics of Coxeter Groups
• Representations of Hecke Algebras of General Linear Groups
• Unusual solutions to the Yang-Baxter equation
• Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
• The Green Correspondence for the Representations of Hecke Algebras of Type A r - 1
• Solving the two-dimensional constant quantum Yang–Baxter equation
• The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
• Koszul Resolutions

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