Generators for decompositions of tensor products of modules associated with standard Jordan partitions.
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Issue Date
2016-10-10
Authors
Barry, Michael J. J.
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Keywords
Matrix Transformation , Elementary Divisors , Canonical Basis
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Abstract
If K is a field of finite characteristic p, G is a cyclic group of order q = p(alpha), U and W are indecomposable KG-modules with dim U = m and dim W = n, and lambda(m,n,p) is a standard Jordan partition of mn, we describe how to find a generator for each of the indecomposable components of the KG-module U circle times W.
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Mathematics
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Preprint and postprint can be added to repository. Cannot use publisher's version.
Citation
Barry, M.J.J. (2016). Generators for decompositions of tensor products of modules associated with standard Jordan partitions. Communications in Algebra, 45(4): 1819-1824. doi:10.1080/00927872.2016.1226863
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Original manuscript prior to peer review (preprint)
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Publisher
Taylor & Francis