query: representing f as a sum of symmetrical and antisymmetrical bilinear forms
positive_passages.docid: 147450
positive_passages.text: Prove that every bilinear map can be written as a sum of bilinear symmetric map and a bilinear anti-symmetric map.
negative_passages.docid: 54094
negative_passages.text: Showing killing form is Ad-invariant
negative_passages.docid: 133295
negative_passages.text: How to solve this set of symmetric polynomial expressions
negative_passages.docid: 57515
negative_passages.text: Similar matrices and field extensions
negative_passages.docid: 99001
negative_passages.text: General identity for a double summation theorem
negative_passages.docid: 148720
negative_passages.text: Reference for Lie-algebra valued differential forms
negative_passages.docid: 134709
negative_passages.text: Express symmetric polynomial $\prod_{i < j} (X_i+X_j)$ in terms of elementary symmetric functions
negative_passages.docid: 39334
negative_passages.text: Non-degenerate bilinear forms and invertible matrices
negative_passages.docid: 12047
negative_passages.text: Tensors which are symmetric and antisymmetric in overlapping groups
negative_passages.docid: 35714
negative_passages.text: Adjoint pairs, triplets and quadruplets
negative_passages.docid: 121593
negative_passages.text: Symmetric and exterior power of representation
negative_passages.docid: 110681
negative_passages.text: Computing the Smith Normal Form
negative_passages.docid: 49946
negative_passages.text: A determinant coming out from the computation of a volume form
negative_passages.docid: 52161
negative_passages.text: Square bracket notation for anti-symmetric part of a tensor
negative_passages.docid: 132125
negative_passages.text: finding if two binary quadratic forms represent the same integers
negative_passages.docid: 12698
negative_passages.text: Orthonormal basis for $\mathcal{L}^2([0,1])$
negative_passages.docid: 37060
negative_passages.text: The Parallelogram Identity for an inner product space