query: Decomposition of group algebra $\mathbb{C}[G]$
positive_passages.docid: 18540
positive_passages.text: Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
negative_passages.docid: 70533
negative_passages.text: In what sense can the Lie algebra of $GL_n(\mathbb{C})$ be "identified" with $M_n(\mathbb C)$?
negative_passages.docid: 102084
negative_passages.text: How to show path-connectedness of $GL(n,\mathbb{C})$
negative_passages.docid: 73458
negative_passages.text: Double cover of $GL(n,\mathbb{C})$.
negative_passages.docid: 52642
negative_passages.text: Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$
negative_passages.docid: 30676
negative_passages.text: $G'$ and the product of all the elements in an odd order group
negative_passages.docid: 130937
negative_passages.text: Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
negative_passages.docid: 29269
negative_passages.text: fundamental group of $GL^{+}_n(\mathbb{R})$
negative_passages.docid: 5599
negative_passages.text: Proving an inclusion for the derived group
negative_passages.docid: 105363
negative_passages.text: $\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
negative_passages.docid: 18182
negative_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 80273
negative_passages.text: Prove the centralizer of an element in group $G$ is a subgroup of $G$
negative_passages.docid: 102341
negative_passages.text: Primary decomposition of a monomial ideal
negative_passages.docid: 17378
negative_passages.text: Characterize finite dimensional algebras without nilpotent elements
negative_passages.docid: 5996
negative_passages.text: Are $(\mathbb{R},+)$ and $(\mathbb{C},+)$ isomorphic as additive groups?
negative_passages.docid: 115182
negative_passages.text: Centre of symmetric group algebra
negative_passages.docid: 43987
negative_passages.text: Decomposition of the tensor product $\mathbb{Q}_p \otimes_{\mathbb{Q}} \mathbb{Q}[i]$ into a product of fields