query: Hodge star operator and the adjoint of exterior multiplication
positive_passages.docid: 146730
positive_passages.text: The adjoint of left exterior multiplication by $\xi$ for hodge star operator
negative_passages.docid: 137512
negative_passages.text: cup product in cohomology ring of a suspension
negative_passages.docid: 102935
negative_passages.text: Trace and determinant of composition of a left-multiplication and a right-multiplication on a space of matrices
negative_passages.docid: 37060
negative_passages.text: The Parallelogram Identity for an inner product space
negative_passages.docid: 62693
negative_passages.text: Eigenspaces of angular momentum operator and its square (Casimir operator)
negative_passages.docid: 35714
negative_passages.text: Adjoint pairs, triplets and quadruplets
negative_passages.docid: 121830
negative_passages.text: The commutators of related vector fields are related
negative_passages.docid: 78263
negative_passages.text: Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
negative_passages.docid: 97800
negative_passages.text: Exterior power "commutes" with direct sum
negative_passages.docid: 144104
negative_passages.text: Show that a positive operator on a complex Hilbert space is self-adjoint
negative_passages.docid: 86224
negative_passages.text: The root system of $sl(3,\mathbb C)$
negative_passages.docid: 23037
negative_passages.text: Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$
negative_passages.docid: 149593
negative_passages.text: Global sections of a tensor product of vector bundles on a smooth manifold
negative_passages.docid: 30678
negative_passages.text: Direct proof that the wedge product preserves integral cohomology classes?
negative_passages.docid: 61593
negative_passages.text: Adjoint map is Lie homomorphism
negative_passages.docid: 28324
negative_passages.text: Inverse image of the sheaf associated to a module
negative_passages.docid: 36826
negative_passages.text: Products of Differential Operators