2013/11/23 by Mitsuyasu Hashimoto, Hashimoto, Mitsuyasu, Yusuke Nakajima +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1311.5963
openalex publication_date 2013/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that a certain invariant subring R has finite F-representation type. Thus, we can write the R-module eR as a finite direct sum of finitely many R-modules. In such a decomposition of eR, we pay attention to the multiplicity of each direct summand. For the multiplicity of free direct summand, there is the notion of F-signature defined by C. Huneke and G. Leuschke and it characterizes some singularities. In this paper, we extend this notion to non free direct summands and determine the explicit values of them.