Classification of \(D\)-bialgebra structures on power series algebras

DOI10.1016/j.jalgebra.2023.07.036zbMath1527.17002arXiv2301.13022OpenAlexW4385491358MaRDI QIDQ6051010

Raschid Abedin

Publication date: 19 September 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.13022

zbMATH Keywords

algebraic geometrynonassociative algebras\(D\)-bialgebras

Mathematics Subject Classification ID

General nonassociative rings (17A99) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vanishing of \(H^1\) for Dedekind rings and applications to loop algebras
• Classification of Lie bialgebras over current algebras
• Classical Yang-Baxter equation and the \(A_\infty\)-constraint
• Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations
• On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra
• Jordan bialgebras of symmetric elements and Lie bialgebras
• Infinitesimal Hopf algebras and the cd-index of polytopes
• Grothendieck duality and base change
• Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation
• Kac-Moody groups, their flag varieties and representation theory
• Certain classes of noncommutative Jordan rings
• Rigidity and compact real forms of semisimple complex jordan algebras
• The abstract Hamiltonian formalism for the classical Yang-Baxter bundles
• On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
• Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations
• Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches
• A Theory of Trace-Admissible Algebras
• Noncommutative Jordan Algebras of Characteristic 0
• Quantum groups
• On the associative analog of Lie bialgebras
• Solutions of the classical Yang-Baxter equation for simple Lie algebras