A combinatorial identity and the finite dual of infinite dihedral group algebra

2020/05/04 by Ge, Fan, Liu, Gongxiang
#05A19 #16T05 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2005.01410

Abstract

In this note, we find a combinatorial identity which is closely related to the multi-dimensional integral γ_m in the study of divisor functions. As an application, we determine the finite dual of the group algebra of infinite dihedral group.

Related

• The infinite dihedral group
• Exploring Functional Identities: From Division Rings to Matrix Algebras
• Idempotents in the group algebra of the infinite dihedral group
• Disjunctive identities of finite groups and identities of regular representations
• Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras