Algebras¶
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¶
Named associative algebras¶
- Affine nilTemperley Lieb Algebra of type A
- Askey-Wilson Algebras
- Diagram and Partition Algebras
- Clifford Algebras
- Cluster algebras
- Descent Algebras
- Down-Up 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
- Quantum Oscillator 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