On Hecke and asymptotic categories for a family of complex reflection groups

Key Points

• Hecke algebras and asymptotic categories are constructed based on the complex reflection group G(M,M,N).
• This generalization expands the existing framework established by dihedral groups, illustrating new algebraic structures.
• The framework relies on group theory principles to analyze relationships between algebraic entities.
• The findings may influence further studies in representation theory and its applications in mathematics.

Abstract