Some decompositions of modules over a ring can be discussed in special categories Here we study the decomposition of quasi-injective objects over a Grothendieck category and generalize some propositions on quasi-injec...Some decompositions of modules over a ring can be discussed in special categories Here we study the decomposition of quasi-injective objects over a Grothendieck category and generalize some propositions on quasi-injective modules over a ring in [1] and [3].展开更多
In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This approach also allows us to calculate the structure constants of multiplicat...In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This approach also allows us to calculate the structure constants of multiplication over the Grothendieck ring of the sequence.展开更多
文摘Some decompositions of modules over a ring can be discussed in special categories Here we study the decomposition of quasi-injective objects over a Grothendieck category and generalize some propositions on quasi-injective modules over a ring in [1] and [3].
文摘In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This approach also allows us to calculate the structure constants of multiplication over the Grothendieck ring of the sequence.
