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Title of Journal: Sib Math J

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Abbravation: Siberian Mathematical Journal

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Springer US

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10.1016/0022-4596(70)90067-8

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1573-9260

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On the subspace Emphasis Type="Italic"L/Emphasi

Authors: V Yu Gubarev
Publish Date: 2009/06/12
Volume: 50, Issue: 3, Pages: 395-404
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Abstract

We take the exterior power ℝ4 ∧ ℝ4 of the space ℝ4 its mth symmetric power V = S m ∧2ℝ4 = ℝ4 ∧ ℝ4 ∨ ℝ4 ∧ ℝ4 ∨ ∨ℝ4 ∧ ℝ4 and put V 0 = Lx ∧ y∨ ∨x ∧ y x y ∈ ℝ4 We find the dimension of V 0 and an algorithm for distinguishing a basis for V 0 efficiently This problem arose in vector tomography for the purpose of reconstructing the solenoidal part of a symmetric tensor field


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