Browsing by Subject "tensor product"
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Bases for fixed points of unipotent elements acting on the tensor square and the spaces of alternating and symmetric 2-tensors
(Elsevier, 2002-05)If V is a vector space over a field K, then an element g of the general linear group GL(V) acts on V ⊗ V, on the space of alternating 2-tensors A(V), and on the space of symmetric 2-tensors S(V). For a unipotent element ... -
Decomposing tensor products and exterior and symmetric squares
(de Gruyter, 2011-01-01)We describe a new algorithm for decomposing tensor products of indecomposable KG-modules into a direct sum of indecomposable KG-modules when K is a field of finite characteristic p and G a cyclic group of order q = pt . ... -
Generators for decompositions of tensor products of modules
(Springer, 2011-11-24)If K is a field of finite characteristic p, G is a cyclic group of order q = p α , U and W are indecomposable KG-modules, and p ≥ dim U + dim W − 1, we describe how to find a generator for each of the indecomposable ...