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Given a $\mathbb{k}$-algebra $A$ and two $A$-modules $M$ and $N$ find $\dim_{\mathbb{k}}\left(\mathrm{Hom}_{A}(M,N)\right)$

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#linear-algebra #abstract-algebra #linear-transformations #representation-of-algebras
352
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Jacobson radical of the $\mathbb{k}$-algebra $\mathbb{k}[x]/\langle x^n\rangle$ where $\mathbb{k}$ is a field

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#abstract-algebra #commutative-algebra #representation-of-algebras
69
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Complement of a maximal direct factor is indecomposable

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#linear-algebra #abstract-algebra #algebraic-geometry #noncommutative-algebra #representation-of-algebras
590
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length of minimal projective resolution and projective dimension

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#abstract-algebra #modules #homological-algebra #projective-module #representation-of-algebras
154
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Path algebra $A=kQ$ is not isomorphic to $A^{op}$

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#abstract-algebra #quiver #representation-of-algebras
34
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Prove that |Λ/e| = |Λ|-|P|

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#category-theory #modules #projective-module #algebras #representation-of-algebras
61
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Confusion about operators and representations

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#group-theory #representation-theory #representation-of-algebras
77
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Exact sequences of indecomposable Kronecker-modules

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#abstract-algebra #representation-theory #homological-algebra #exact-sequence #representation-of-algebras
115
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Existance of certain derivations on the Temperley-Lieb algebra:

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#representation-theory #operator-algebras #representation-of-algebras
76
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Why $H$ in $\mathfrak{sl}_2$ triple is always semisimple?

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#representation-theory #lie-algebras #semisimple-lie-algebras #representation-of-algebras
81
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Examples of actions of algebras on categories

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#category-theory #representation-theory #higher-category-theory #representation-of-algebras
71
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The equivalence relation defined by normal form on Von Neumann algebra, its support and the it's representation .

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#operator-algebras #equivalence-relations #c-star-algebras #von-neumann-algebras #representation-of-algebras
96
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How does the center of a Path Algebra KQ for a quiver Q look like?

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#linear-algebra #representation-theory #quiver #representation-of-algebras
17
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Decomposition of an irreducible representation of $A \otimes B$ for $C^{\ast}$-algebras $A$ and $B$.

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#functional-analysis #tensor-products #c-star-algebras #representation-of-algebras
57
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Is it known the $S_n$-module structures of free anti-commutative algebra

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#combinatorics #representation-theory #noncommutative-algebra #free-modules #representation-of-algebras

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