Perfect submonoids of dominant weights
Chengze Duan
TL;DR
This paper provides explicit descriptions of perfect submonoids of dominant weights for connected semisimple groups, advancing the understanding of Vinberg monoids and their algebraic structures.
Contribution
It offers a detailed characterization of perfect submonoids of dominant weights, a concept introduced by Vinberg, with explicit descriptions for the first time.
Findings
Explicit descriptions of perfect submonoids of dominant weights.
Enhanced understanding of Vinberg monoids.
Foundational results for future algebraic studies.
Abstract
Let G be a connected semisimple group. Vinberg introduced the notion of perfect submonoids of dominant weights of G in the study of Vinberg monoids. In this paper, we give explicit descriptions of the perfect submonoids.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra