An analogue of the Duistermaat-van der Kallen theorem for group algebras

✍ Scribed by Wenhua Zhao; Roel Willems

• Book ID: 115063575
• Publisher: SP Versita
• Year: 2012
• Tongue: English
• Weight: 875 KB
• Volume: 10
• Category: Article
• ISSN: 1895-1074
• DOI: 10.2478/s11533-012-0028-4

✦ Synopsis

Let G be a group, R an integral domain, and V G the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1 G of G is equal to zero. Motivated by the Mathieu conjecture [Mathieu O., Some conjectures about invariant theory and their applications, In: