Graphs with Relations, Coverings and Group-Graded Algebras

automorphism groups path algebras weight functions group-graded algebras universal objects categories of linear representations coverings of graphs with relations

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Graded rings and modules (associative rings and algebras) (16W50) Representation theory of associative rings and algebras (16Gxx)

Related Items (59)

On associative superalgebras of matrices. ⋮ The classifying space of a bound quiver. ⋮ The universal cover of an algebra without double bypass. ⋮ ON HIGHER TORSION CLASSES ⋮ The cohomology ring of a monomial algebra. ⋮ Algebras from diagrams ⋮ Periodic resolutions and self-injective algebras of finite type. ⋮ A covering technique for derived equivalence ⋮ Algebras stably equivalent to selfinjective special biserial algebras ⋮ The graded Cartan matrix and global dimension of 0-relations algebras ⋮ McKay quivers and absolute \(n\)-complete algebras. ⋮ The graded structure of Leavitt path algebras. ⋮ Tree modules and counting polynomials. ⋮ The intrinsic fundamental group of a linear category ⋮ Covering theory for linear categories with application to derived categories ⋮ Gradings and derived categories. ⋮ Simply connected incidence algebras. ⋮ Galois coverings of pointed coalgebras. ⋮ Harder-Narasimhan filtrations and zigzag persistence ⋮ Galois covering of pure-semisimple categories ⋮ ℤ Q type constructions in higher representation theory ⋮ Graded semigroups ⋮ Resolutions of mesh algebras: periodicity and Calabi-Yau dimensions. ⋮ Finiteness of the strong global dimension of radical square zero algebras. ⋮ A generalization of Gabriel's Galois covering functors and derived equivalences ⋮ Coverings of graded pointed Hopf algebras. ⋮ Consistent diagonalization, representations, and lattices ⋮ Skew category, Galois covering and smash product of a 𝑘-category ⋮ Modules and matrices ⋮ On Galois coverings and tilting modules. ⋮ A characterization of \(G\)-categories \(G\)-equivalent to the \(G\)-category of graded modules over a generalized \(G\)-graded algebra ⋮ On the structure and cohomology ring of connected Hopf algebras ⋮ Perpendicular categories with applications to representations and sheaves ⋮ Smash products of group weighted bound quivers and Brauer graphs ⋮ Cohomological comparison theorem ⋮ Graded Steinberg algebras and their representations ⋮ Coverings, the graded center and Hochschild cohomology. ⋮ The bounded derived categories of an algebra with radical squared zero ⋮ Hochschild cohomology of skew group rings and invariants. ⋮ Induced good gradings of structural matrix rings ⋮ Nakayama-type phenomena in higher Auslander–Reiten theory ⋮ A cohomological point of view on gradings on algebras with multiplicative basis ⋮ Cohen-Montgomery duality for pseudo-actions of a group ⋮ Quadratic forms and iterated tilted algebras ⋮ Strongly simply connected algebras ⋮ Group gradings of M₂(K) ⋮ Group gradings on full matrix rings ⋮ Tree normal forms for quiver representations ⋮ Homology of étale groupoids a graded approach ⋮ Hochschild (co)homology of Galois coverings of Grassmann algebras. ⋮ Irreducible representations of Leavitt algebras ⋮ The fundamental group of a triangular algebra without double bypasses. ⋮ On tame strongly simply connected algebras ⋮ Pointed Hopf algebras of finite corepresentation type and their classifications ⋮ Koszul algebras and finite Galois coverings. ⋮ Galois coverings of enriched categories and an extension of Cohen-Montgomery theorem ⋮ Algebraic fundamental group and simplicial complexes. ⋮ Graded quotients of path algebras: A local theory ⋮ Simply connected tame quasi-tilted algebras

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