U-distinguished modules
نویسندگان
چکیده
منابع مشابه
Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †
Let Λ and Γ be left and right noetherian rings and ΛU a Wakamatsu tilting module with Γ = End(ΛT ). We introduce a new definition of U -dominant dimensions and show that the U -dominant dimensions of ΛU and UΓ are identical. We characterize k-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generaliza...
متن کامل9 S ep 2 00 4 Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †
Let Λ and Γ be left and right noetherian rings and ΛU a Wakamatsu tilting module with Γ = End(ΛT ). We introduce a new definition of U -dominant dimensions and show that the U -dominant dimensions of ΛU and UΓ are identical. We characterize k-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generaliza...
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We must mention that the assumption that we are dealing with a Cartan matrix of finite type and a root of unity appears only at the very end (see Chapter 4). We need these assumptions in order to compare our representations with the conventional definition of the category C. All previous results are valid in more general assumptions. In particular a Cartan matrix could be arbitrary and a deform...
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This result is strikingly similar to the following hoped-for picture of affine Lie algebra representation theory, explained to us by A.Beilinson. Let M1,M2 be two modules over an affine Lie algebra ĝ on the critical level. One hopes that there is a localization functor which associates to these modules perverse sheaves ∆(M1),∆(M2) over the semiinfinite flag space Ĝ/B̂. Suppose that ∆(M1) and ∆(M...
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1.1. Let A be a complex affine space, H a finite collection of hyperplanes in A. We suppose that all H ∈ H are given by real equations, and denote by HR ⊂ H the subspace of real points. An arrangement H induces naturally a stratification of A denoted by SH (for precise definitions see section 2 below). The main goal of this paper is the study of the category M(A;SH) of perverse sheaves (of vect...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1973
ISSN: 0021-8693
DOI: 10.1016/0021-8693(73)90072-0