Algebras

• Catalog of Algebras
• Quantum Groups

Free associative algebras and quotients

• Free algebras
• Free algebra elements
• Free associative unital algebras, implemented via Singular’s letterplace rings
• Weighted homogeneous elements of free algebras, in letterplace implementation
• Homogeneous ideals of free algebras
• Finite dimensional free algebra quotients
• Free algebra quotient elements
• Tensor Algebras

Finite dimensional algebras

• Finite-Dimensional Algebras
• Elements of Finite Algebras
• Ideals of Finite Algebras
• Morphisms Between Finite Algebras

Named associative algebras

• Affine nilTemperley Lieb Algebra of type A
• Askey-Wilson Algebras
• Diagram and Partition Algebras
• Clifford Algebras
• Cluster algebras
• Descent Algebras
• Fusion Rings
• Hall Algebras
• Incidence Algebras
• Group algebras
• Grossman-Larson Hopf Algebras
• Möbius Algebras
• Orlik-Terao Algebras
• Orlik-Solomon Algebras
• Partition/Diagram Algebras
• Quantum Clifford Algebras
• Quantum Groups Using GAP’s QuaGroup Package
• Quantum Matrix Coordinate Algebras
• Quaternion Algebras
• Rational Cherednik Algebras
• Schur algebras for \(GL_n\)
• The Steenrod algebra
• Steenrod algebra bases
• Miscellaneous functions for the Steenrod algebra and its elements
• Multiplication for elements of the Steenrod algebra
• Weyl Algebras
• Yangians

Hecke algebras

• Ariki-Koike Algebras
• Iwahori-Hecke Algebras
• Nil-Coxeter Algebra
• Yokonuma-Hecke Algebras
• Cubic Hecke Algebras

Graded algebras

• Finite dimensional graded commutative algebras
• Commutative Differential Graded Algebras

Various associative algebras

• Associated Graded Algebras To Filtered Algebras
• Cellular Basis
• Q-Systems
• \(q\)-Commuting Polynomials
• Splitting Algebras

Non-associative algebras

• Lie Algebras
• Lie Conformal Algebras
• Jordan Algebras
• Free Dendriform Algebras
• Free Pre-Lie Algebras
• Shuffle algebras
• Free Zinbiel Algebras

Indices and Tables

• Index

• Module Index

• Search Page