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Algebras¶

  • Catalog of 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¶

  • 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
  • Diagram and Partition Algebras
  • Clifford Algebras
  • Descent Algebras
  • Hall Algebras
  • Iwahori-Hecke Algebras
  • Incidence Algebras
  • Group algebras
  • Möbius Algebras
  • Nil-Coxeter Algebra
  • Orlik-Solomon Algebras
  • Partition/Diagram Algebras
  • Quaternion 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
  • Yokonuma-Hecke Algebras

Various associative algebras¶

  • Associated Graded Algebras To Filtered Algebras
  • Commutative Differential Graded Algebras

Non-associative algebras¶

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

Indices and Tables¶

  • Index
  • Module Index
  • Search Page

Table Of Contents

  • Algebras
    • Free associative algebras and quotients
    • Finite dimensional algebras
    • Named associative algebras
    • Various associative algebras
    • Non-associative algebras
  • Indices and Tables

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