Tilting Modules in Truncated Categories
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چکیده
We begin the study of a tilting theory in certain truncated categories of modules G(Γ) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Γ = P × J , J is an interval in Z, and P is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Γ′) where Γ′ = P ′×J , where P ′ ⊆ P is saturated. Under certain natural conditions on Γ′, we note that G(Γ′) admits full tilting modules.
منابع مشابه
Tilting in module categories
Let M be a module over an associative ring R and σ[M ] the category of M -subgenerated modules. Generalizing the notion of a projective generator in σ[M ], a module P ∈ σ[M ] is called tilting in σ[M ] if (i) P is projective in the category of P -generated modules, (ii) every P -generated module is P presented, and (iii) σ[P ] = σ[M ]. We call P self-tilting if it is tilting in σ[P ]. Examples ...
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تاریخ انتشار 2014