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A COMBINATORIAL IDENTITY AND THE FINITE DUAL OF INFINITE DIHEDRAL GROUP ALGEBRA
Author(s) -
Ge Fan,
Liu Gongxiang
Publication year - 2021
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12083
Subject(s) - mathematics , dihedral group , dual (grammatical number) , group (periodic table) , algebra over a field , identity (music) , pure mathematics , group ring , dihedral angle , finite group , combinatorics , art , hydrogen bond , chemistry , physics , literature , organic chemistry , molecule , acoustics
In this paper, we find a combinatorial identity which is related to the multi‐dimensional integral γ m in the study of divisor functions (see (1)). As an application, we determine the finite dual of the group algebra of infinite dihedral group.