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Apr
21
asked wavelet transformation for discrete vector
Apr
14
comment find special basis to make null space part equal to zero
Thank you so much for your answer!
Apr
7
accepted Computing bases for direct, wedge, tensor products, etc., of given vector spaces
Apr
7
revised Computing bases for direct, wedge, tensor products, etc., of given vector spaces
added 16 characters in body
Apr
7
comment Computing bases for direct, wedge, tensor products, etc., of given vector spaces
@Travis Thank you for your answer! I fixed (1). For (3), why it is the sum not the product? I think for $(v_i,w_j)$, the first element has $dim(V)$ choices, and the second element has $dim(W)$ choices, so it should be $dim(V)dim(W)$. Am I wrong? BTW, just want to make sure, $V\oplus W$ and $V\times W$ are the same thing, right?
Apr
7
comment Computing bases for direct, wedge, tensor products, etc., of given vector spaces
@DietrichBurde Well, we can assume that, since my actual problem is just about finite dimension.
Apr
7
revised Computing bases for direct, wedge, tensor products, etc., of given vector spaces
added 9 characters in body
Apr
7
asked Computing bases for direct, wedge, tensor products, etc., of given vector spaces
Apr
7
comment example for torsion free but not cyclic group
OK, thank you so much for your help!
Apr
7
comment example for torsion free but not cyclic group
Thank you for your answer! One more question, the converse is not true(torsion free is not all free abelian group), right? As you mentioned in the last sentence, counterexample can be considered among those not finitely generated torsion-free abelian groups. Is $\mathbb{Z}^{\infty}$ a such example(torsion-free but not free abelian group)?
Apr
7
accepted example for torsion free but not cyclic group
Apr
7
asked How to evaluate the coefficient of power series?
Apr
6
comment example for torsion free but not cyclic group
Thank you very much!
Apr
6
asked example for torsion free but not cyclic group
Apr
6
comment Find Jordan canonical form with Kronecker product of JCF
I found a good notes digitalcommons.unf.edu/cgi/… But I don't know how to use it(page 48 Thm 56). My problem is such a corner case, with all the eigenvalue 2 and not diagonalizable.
Apr
6
asked Find Jordan canonical form with Kronecker product of JCF
Apr
6
asked use universal properties to prove the existence of isomorphism
Apr
6
accepted find special basis to make null space part equal to zero
Apr
6
accepted Kronecher product of two Hadamard matrices is Hadamard matrix
Apr
6
asked subspace of a linear space with integer coefficients