Periodic Simple Modules for SU3(q2) in the Describing Characteristic p...2.
Peter Fleischmann (1988)
Mathematische Zeitschrift
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Displaying similar documents to “Complexity and periodicity”
Periodic Simple Modules for SU3(q2) in the Describing Characteristic p...2.
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Let A be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of A with coefficients in the bimodule A vanishes if and only if A is representation-finite and simply connected (in the sense of Bongartz and Gabriel), if and only if the Euler characteristic of Q equals the number of indecomposable non-uniserial projective-injective A-modules (up to isomorphism). Moreover, if this is the case, then all the higher Hochschild cohomology...
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