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
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
- Hall Algebras
- Iwahori-Hecke Algebras
- Incidence Algebras
- Group algebras
- Grossman-Larson Hopf Algebras
- Möbius Algebras
- Nil-Coxeter Algebra
- Orlik-Solomon Algebras
- Quantum Matrix Coordinate Algebras
- Partition/Diagram Algebras
- Quantum Groups Using GAP’s QuaGroup Package
- 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
- Yokonuma-Hecke Algebras
Various associative algebras¶
Non-associative algebras¶
- Lie Algebras
- Abelian Lie Algebras
- Affine Lie Algebras
- The Baker-Campbell-Hausdorff formula
- Classical Lie Algebras
- Examples of Lie Algebras
- Free Lie Algebras
- Heisenberg Algebras
- Lie Algebras
- Lie Algebra Elements
- Homomorphisms of Lie Algebras
- Nilpotent Lie algebras
- Onsager Algebra
- The Poincare-Birkhoff-Witt Basis For A Universal Enveloping Algebra
- Quotients of Lie algebras
- Rank Two Heisenberg-Virasoro Algebras
- Lie Algebras Given By Structure Coefficients
- Subalgebras and ideals of Lie algebras
- Verma Modules
- Virasoro Algebra and Related Lie Algebras
- Jordan Algebras
- Free Dendriform Algebras
- Free Pre-Lie Algebras
- Shuffle algebras
- Free Zinbiel Algebras