Wedderburn Decomposition and Structure of a Semi-Simple Dihedral Group Algebra| Chapter 10 | Novel Research Aspects in Mathematical and Computer Science Vol. 4

 Let K be an arbitrary field with no characteristic that divides the order of the dihedral group D_2m of order 2m, where m is odd, and KD_2m be the D_2m group algebra over the field K. This paper investigates the structure of the semisimple dihedral group algebra KD_2m. For this goal, we find a full system of minimum central orthogonal idempotents of the group algebra. We use it to define the basic components of KD_2m and its Wedderburn decomposition. The results are as broad as feasible, requiring no limited field.

Author(s) Details:

Yordan Epitropov,
Plovdiv University ‘P. Hilendarski, 24 Tzar Asen Str., Plovdiv, Bulgaria.

Ivanka Gradeva,
Plovdiv University ‘P. Hilendarski’, 24 Tzar Asen Str., Plovdiv, Bulgaria.

Please see the link here: https://stm.bookpi.org/NRAMCS-V4/article/view/7038