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1,503
CHAIN COMPLEXES AND STABLE CATEGORIES
- MANUS. MATH.
, 1990
"... Under suitable assumptions, we extend the inclusion of an additive ... complexes concentrated in positive degrees. We thereby obtain a new proof for the key result of J. Rickard’s ’Morita theory for Derived categories ‘ [17] and a sharpening of a theorem of Happel [12, 10.10] on the ’module-theoreti ..."
Abstract
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Cited by 102 (7 self)
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Under suitable assumptions, we extend the inclusion of an additive ... complexes concentrated in positive degrees. We thereby obtain a new proof for the key result of J. Rickard’s ’Morita theory for Derived categories ‘ [17] and a sharpening of a theorem of Happel [12, 10.10] on the ’module
LOCAL SUBGROUPS AND THE STABLE CATEGORY
"... Abstract. If G is a finite group and k is an algebraically closed field of characteristic p> 0, then this paper uses the local subgroup structure of ..."
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Abstract. If G is a finite group and k is an algebraically closed field of characteristic p> 0, then this paper uses the local subgroup structure of
COMPACTLY GENERATED RELATIVE STABLE CATEGORIES
"... Abstract. Let G be a finite group. The stable module category of G has been applied extensively in group representation theory. In particular, it has been used to great effect that it is a triangu-lated category which is compactly generated by the class of finitely generated modules. Let H be a subg ..."
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Abstract. Let G be a finite group. The stable module category of G has been applied extensively in group representation theory. In particular, it has been used to great effect that it is a triangu-lated category which is compactly generated by the class of finitely generated modules. Let H be a
Stable categories of higher preprojective algebras
, 2009
"... Abstract. We show that if an algebra is n-representation-finite then its (n + 1)-preprojective algebra is self-injective. In this situation, we show that the stable module category is (n + 1)-Calabi-Yau, and, more precisely, it is the (n+1)-Amiot cluster category of the stable n-Auslander algebra. F ..."
Abstract
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Cited by 21 (9 self)
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Abstract. We show that if an algebra is n-representation-finite then its (n + 1)-preprojective algebra is self-injective. In this situation, we show that the stable module category is (n + 1)-Calabi-Yau, and, more precisely, it is the (n+1)-Amiot cluster category of the stable n-Auslander algebra
Cartesian closed stable categories q
, 2004
"... The aim of this paper is to establish some Cartesian closed categories which are between the two Cartesian closed categories: SLP (the category of L-domains and stable functions) and DI (the full subcategory of SLP whose objects are all dI-domains). First we show that the exponentials of every full ..."
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The aim of this paper is to establish some Cartesian closed categories which are between the two Cartesian closed categories: SLP (the category of L-domains and stable functions) and DI (the full subcategory of SLP whose objects are all dI-domains). First we show that the exponentials of every full
THE Gn-ACTION ON En IN THE STABLE CATEGORY
"... Abstract. It is a well-known fact that, by Brown representability, the ex-tended Morava stabilizer group Gn acts on the Lubin-Tate spectrum En, in ..."
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Abstract. It is a well-known fact that, by Brown representability, the ex-tended Morava stabilizer group Gn acts on the Lubin-Tate spectrum En, in
The correct relatively stable category for idempotent modules ∗
, 708
"... We answer a question posed in [4], and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent behav ..."
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We answer a question posed in [4], and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent
Results 1 - 10
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