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Cluster tilting for onedimensional hypersurface singularities
 Adv. Math
"... Abstract. In this article we study CohenMacaulay modules over onedimensional hypersurface singularities and the relationship with representation theory of associative algebras using methods of cluster tilting theory. We give a criterion for existence of cluster tilting objects and their complete d ..."
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Abstract. In this article we study CohenMacaulay modules over onedimensional hypersurface singularities and the relationship with representation theory of associative algebras using methods of cluster tilting theory. We give a criterion for existence of cluster tilting objects and their complete description by homological method using higher almost split sequences and results from birational geometry. We obtain a large class of 2CY tilted algebras which are finite dimensional symmetric and satisfies τ 2 = id. In particular, we compute 2CY tilted algebras for simple/minimally elliptic curve singuralities.
Solution to the ClebschGordan problem for representations of quivers of type Ãn
 J. Algebra Appl
"... We solve the ClebschGordan problem for repkQ (i.e. we describe the KrullSchmidt decomposition of A ⊗ B for all A, B ∈ repkQ) in case k is an algebraically closed field of characteristic 0 and Q is a quiver of type Ãn. The underlying tensor product is defined pointwise and arrowwise. 1 ..."
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Cited by 4 (2 self)
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We solve the ClebschGordan problem for repkQ (i.e. we describe the KrullSchmidt decomposition of A ⊗ B for all A, B ∈ repkQ) in case k is an algebraically closed field of characteristic 0 and Q is a quiver of type Ãn. The underlying tensor product is defined pointwise and arrowwise. 1
On the representation rings of quivers of exceptional Dynkin type
"... On the representation rings of quivers of exceptional Dynkin type ..."
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Cited by 2 (1 self)
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On the representation rings of quivers of exceptional Dynkin type