On the colength sequence of algebras with graded involution
Abstract
In recent years, many results have been established regarding classifications of varieties whose colength sequences are bounded by a fixed constant. In this work, we explore this theme in the setting of algebras endowed with a graded involution, called (G,∗)-algebras. We give an explicit description of the decomposition of the 〈n〉-cocharacter for some important (G,∗)-algebras A, for every 〈n〉=(n1,…,n2t). For each algebra A, the nth colength is defined as the number of irreducible components that appear in these decompositions. Our aim is to classify varieties whose nth colengths are bounded by a fixed constant.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Holomorphic and Operator Theory
Publication details
- Journal / source
- Communications in Algebra
- Publisher
- Informa UK Limited
- Pages
- 1–20
- Publication date
- 11 February 2026
- Language
- EN