Verlinde algebra

In mathematics, a Verlinde algebra is a finite-dimensional associative algebra introduced by Erik Verlinde (1988). It is defined to have basis of elements φ_λ corresponding to primary fields of a rational two-dimensional conformal field theory, whose structure constants N^ν
_λμ describe fusion of primary fields.

In the context of modular tensor categories, there is also a Verlinde algebra. It is defined to have a basis of elements ${\displaystyle [A]}$ corresponding to isomorphism classes of simple obejcts and whose structure constants ${\displaystyle N_{C}^{A,B}}$ describe the fusion of simple objects.