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On periodic stable Auslander-Reiten components containing Heller lattices over the symmetric Kronecker algebra
Let be a complete discrete valuation ring, its
quotient field, and let be the symmetric Kronecker algebra over
. We consider the full subcategory of the category of -lattices
whose objects are -lattices such that
is projective
-modules. In this paper, we study Heller
lattices of indecomposable periodic modules over the symmetric Kronecker
algebra. As a main result, we determine the shapes of stable Auslander-Reiten
components containing Heller lattices of indecomposable periodic modules over
the symmetric Kronecker algebra.Comment: 35 pages (v1), correct several errors (v2
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