query: How is the trace of the adjoint of Lie algebra elements defined?
positive_passages.docid: 145157
positive_passages.text: Coordinate-Free Definition of Trace.
negative_passages.docid: 101631
negative_passages.text: Determinant of a finite-dimensional matrix in terms of trace
negative_passages.docid: 46669
negative_passages.text: How can I prove these are the adjoint operators?
negative_passages.docid: 39094
negative_passages.text: Lie bracket of vector fields on $\Bbb R^{n}$
negative_passages.docid: 20241
negative_passages.text: Find the trace of the matrix?
negative_passages.docid: 58807
negative_passages.text: Solving the Lie algebra of generators: path from algebra to matrix representation
negative_passages.docid: 111883
negative_passages.text: Representations of a product of Lie groups
negative_passages.docid: 26958
negative_passages.text: Classification of 3-dimensional Lie Algebra
negative_passages.docid: 34886
negative_passages.text: Transvection matrices generate $ \operatorname{SL}_n(\mathbb{R}) $
negative_passages.docid: 13020
negative_passages.text: Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?
negative_passages.docid: 4205
negative_passages.text: Is adjoint of singular matrix singular? What would be its rank?
negative_passages.docid: 54668
negative_passages.text: Proof for the completeness of eigenfunctions of a self-adjoint operator
negative_passages.docid: 43303
negative_passages.text: Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
negative_passages.docid: 157246
negative_passages.text: Adjoint matrix eigenvalues and eigenvectors
negative_passages.docid: 115414
negative_passages.text: Lie Algebra of $SL_n(\mathbb H)$
negative_passages.docid: 122434
negative_passages.text: Adjoint of a matrix and inverse of a matrix
negative_passages.docid: 90475
negative_passages.text: Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?