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Discovery Projects - Grant ID: DP160103897

Title
Discovery Projects - Grant ID: DP160103897
Funding
ARC | Discovery Projects
Contract (GA) number
DP160103897
Start Date
2016/01/01
End Date
2020/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP160103897

 

  • Cores of graded algebras with triangular decomposition

    Bellamy, Gwyn; Thiel, Ulrich (2017)
    Projects: ARC | Discovery Projects - Grant ID: DP160103897 (DP160103897)
    We consider self-injective finite-dimensional graded algebras admitting a triangular decomposition. In a preceding paper, we have shown that the graded module category of such an algebra is a highest weight category and has tilting objects in the sense of Ringel. In this paper we focus on the degree zero part of the algebra, the core of the algebra. We show that the core captures essentially all relevant information about the graded representation theory. Using tilting theory, we show that th...
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