On gluing tilting modules
نویسندگان
چکیده
منابع مشابه
Gluing endo-permutation modules
In this paper, I show that if p is an odd prime, and if P is a finite p-group, then there exists an exact sequence of abelian groups 0→ T (P )→ D(P )→ lim ←− 1<Q≤P D (
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Let k be a field of characteristic p, and P be a finite p-group, where p is an odd prime. In this paper, we consider the problem of gluing compatible families of endo-permutation modules : being given a torsion element MQ in the Dade group D(NP (Q)/Q), for each non-trivial subgroup Q of P , subject to obvious compatibility conditions, we show that it is always possible to find an element M in t...
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In this paper, we show that the tilting modules over a clustertilted algebra A lift to tilting objects in the associated cluster category CH . As a first application, we describe the induced exchange relation for tilting Amodules arising from the exchange relation for tilting object in CH . As a second application, we exhibit tilting A-modules having cluster-tilted endomorphism algebras. Cluste...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2018
ISSN: 1674-7216
DOI: 10.1360/n012017-00266