query: Show permutation representation is reducible, by finding G-invariant subspace
positive_passages.docid: 41294
positive_passages.text: Permutation module of $S_n$
negative_passages.docid: 95513
negative_passages.text: Proving $W$ is a subspace of $P_{2}$
negative_passages.docid: 37331
negative_passages.text: Prove that every set with more than one element has a permutation without fixed points
negative_passages.docid: 141794
negative_passages.text: Invariant subspaces of specific dimension
negative_passages.docid: 131480
negative_passages.text: Proof that composition of invertible linear transformations is invertible (without determinants)
negative_passages.docid: 43004
negative_passages.text: Why are there $|G/G'|$ 1-dimensional representations of $G$?
negative_passages.docid: 46036
negative_passages.text: Logic for decomposing a permutation into different products composed of transpositions
negative_passages.docid: 93952
negative_passages.text: Show that $X$ can be represented as a union of disjoint equivalence classes
negative_passages.docid: 4319
negative_passages.text: Vector space can be written as direct sum of subspaces
negative_passages.docid: 7418
negative_passages.text: The Center of $\operatorname{GL}(n,k)$
negative_passages.docid: 136640
negative_passages.text: Can you completely permute the elements of a matrix by applying permutation matrices?
negative_passages.docid: 96680
negative_passages.text: Generators of symmetric group $S_n$
negative_passages.docid: 79061
negative_passages.text: show that {$(x_1,x_2,x_3,x_4)\in\mathbb{F}^4$:$x_3=5x_4+b$} is a subspace
negative_passages.docid: 121593
negative_passages.text: Symmetric and exterior power of representation
negative_passages.docid: 120968
negative_passages.text: Isomorphism of stabilizer over $S_n$ to $S_{n-1}$
negative_passages.docid: 37060
negative_passages.text: The Parallelogram Identity for an inner product space
negative_passages.docid: 79564
negative_passages.text: Algorithm to find the irreducible polynomial