Symmetric functions | Invariant theory | Algebras

Hall algebra

In mathematics, the Hall algebra is an associative algebra with a basis corresponding to isomorphism classes of finite abelian p-groups. It was first discussed by but forgotten until it was rediscovered by Philip Hall, both of whom published no more than brief summaries of their work. The Hall polynomials are the structure constants of the Hall algebra. The Hall algebra plays an important role in the theory of Masaki Kashiwara and George Lusztig regarding canonical bases in quantum groups. generalized Hall algebras to more general categories, such as the category of representations of a quiver. (Wikipedia).

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Related pages

Elementary abelian group | Category theory | Polynomial | Structure constants | Mathematics | Partition (number theory) | Schur polynomial | Finite set | Associative algebra | P-group | Quiver (mathematics) | Ring homomorphism | Symmetric function | Cyclic group | Abelian group | Quantum group