COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION

DOI10.1142/S0219199708003022zbMath1180.16006arXiv0801.2567OpenAlexW2039861103MaRDI QIDQ3607432

Alissa S. Crans, Enver Karadayi, Masahico Saito, J. Scott Carter, Mohamed Elhamdadi

Publication date: 2 March 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2567

zbMATH Keywords

cohomology groupscoalgebrasYang-Baxter equationFrobenius algebrascomultiplicationsmultiplicationsdifferentialschain complexesbialgebra-type deformations

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Yang-Baxter equations (16T25) Coalgebras and comodules; corings (16T15)

Related Items (4)

Knot groups, quandle extensions and orderability ⋮ Analytic linear Lie rack structures on Leibniz algebras ⋮ Ring theoretic aspects of quandles ⋮ Nontrivial topological quandles

Cites Work

• A classifying invariant of knots, the knot quandle
• Deformation theory via deviations
• Noninvolutory Hopf algebras and \(3\)-manifold invariants
• A categorification of the Jones polynomial
• Cohomology of the adjoint of Hopf algebras.
• INVOLUTORY HOPF ALGEBRAS AND 3-MANIFOLD INVARIANTS
• Bialgebra cohomology, deformations, and quantum groups.
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Extensions of Quandles and Cocycle Knot Invariants
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS
• Invariants of 3-manifolds derived from universal invariants of framed links
• A NOTE ON THE BAR-NATAN SKEIN MODULE
• Twisted quandle homology theory and cocycle knot invariants

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