Abstract algebra MOC

Representation theory MOC

Representation theory studies algebraic structures by representing their elements as linear maps of vector spaces. In general, a Representation is a Functor Γ :𝐺 →𝖵𝖾𝖼𝗍𝕂.

Represented object

• Group representation
  • Representation of a finite group
  • Representation of an abelian group
  • Representation of a compact Lie group
• Algebras
  • Module over a unital associative algebra
  • ∗-representation
  • Lie algebra representation
• Quiver representation

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