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Showing 1 to 20 of 20 for “"quivers"”.
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Geometry Of Quivers
… We explore some the connections between quivers and geometric structures. To begin, we consider a theorem that says every projective variety can be considered as a quiver Grassmannian. The reasoning of the proof is demonstrated by example. We then prove the existence of a countable quiver …
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Stratifications of representations and cyclic quivers
DSpace SAF Submission Ingestion Package generated from Vireo submission #12706 on 2018-09-27 at 10:46:21
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K-theoretic Hall algebras for quivers with potential
… expect our construction for the special class of quivers (Q̃, W̃) to recover the positive part of quantum affine algebra U[subscript q]([subscript gQ]) defined by Okounkov-Smirnov, but for general pairs (Q, W) we expect new phenomena.
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Hochschild homology / cohomology of preprojective algebras of ADET quivers
Preprojective algebras [Pi]q of quivers Q were introduced by Gelfand and Ponomarev in 1979 in order to provide a model for quiver representations (in the special case of finite Dynkin quivers). They showed that in the Dynkin case, the preprojective algebra decomposes as the direct sum of all …
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Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients
… of semi-invariant rings for a special class of quivers, and the Littlewood-Richardson coefficients, we show that the space of Littlewood-Richardson numbers is saturated, i.e. if $c_{N \lambda, N \mu}^{N \nu} \neq 0$ then $c_{\lambda, \mu}^{\nu} \neq 0$, by showing that weights $\sigma \in …
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On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution
… the notion of filtered representations of quivers, which is related to usual quiver representations, but is a systematic generalization of conjugacy classes of $n\times n$ matrices to (block) upper triangular matrices up to conjugation by invertible (block) upper triangular matrices. With …
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On the Structure of Oriented Exchange Graphs
… of a quiver is the graph of mutation-equivalent quivers whose edges correspond to mutations. The exchange graph admits a natural acyclic orientation called the oriented exchange graph. Oriented exchange graphs arise in many areas of mathematics including representation theory, algebraic …
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Decomposition of Certain Representations Into A Direct Sum of Indecomposable Representations
Representations of quivers and posets are produced by persistent homology. It is possible to decompose such representations into direct sums of indecomposable representations. The indecomposable representations of quivers and posets that arise from one dimensional persistent homology are well …
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Hyperfinite families, amenable representation type and non-amenability of controlled wild algebras
… in particular path algebras of extended Dynkin quivers, are of amenable type.<br /> Further results concern the amenability of tame concealed algebras as well as partial positive results for indecomposable modules of integral slope for tubular canonical algebras and the preprojective and …
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Auslander-Reiten Sequences over Gorenstein Rings of Dimension One
… the shape of some components of Auslander-Reiten quivers. We also adapt results due to Zacharia and others, from the setting of Artin algebras. This allows us to list the potential shapes of the components of AR quivers in our setting. It also has an application to special cases of the …
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Generation and classification of AdS solutions and their CFT interpretation
… puntos fijos del flujo de renormalización de quivers lineales de rango creciente. Se propondrá así mismo una interesante relación entre estos quivers y la descripción mediante T-dualidad abeliana de las teorías originales en términos de quivers circulares. Se revisará por otra parte el …
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Categorifications of Cluster Varieties
… we introduce a gluing operation for dimer quivers on surfaces. We use this operation to recover the boundary algebra obtained from a gluing when certain consistency conditions are met. As an application we determine the boundary algebra of a class of homogeneous strand diagrams on the …
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Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients
… polynomials and semi-invariants of quivers. Also investigated is a new q-analogue of the Kostant partition function, which is shown to be given by polynomial functions over the relative interiors of the cells of a complex of cones.
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Aspects of branes and orbifolds in string theory
… the structure of the so-called exceptional quivers, and hints towards the brane realization of the associated gauge theories. Next, I present the computation of the partition function of the coset conformal field theory describing the two-dimensional black hole. This computation confirms …
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Finite dimensional representations of sympletic reflection algebras for wreath products
… algebras for the infinite affine Dynkin quivers corresponding to the infinite reductive subgroups of SL(2,C).
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Phylogenetic Systematics of Snubnose Darters (Percidae, Etheostoma), With Discussion of Reproductive Behavior, Sexual Selection, and the Evolution of Male Breeding Color
… behavior, including substrate searching, lateral quivers and head jabs, was similar in the two environments, although spawns were significantly longer for pairs spawning in aquaria than for pairs spawning in the field. Egg deposition behavior was similar in streams and aquaria, differing only in …
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Prism tableaux and alternating sign matrices
… Rimanyi, the author studies representations of quivers and their connection to the dilogarithm identities of M. Reineke. We give a bijective proof to establish an identity of generating series. This bijection uses a generalization of Durfee squares. From this identity, we give a new proof of M. …
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Applications of graded methods to cluster variables in arbitrary types
… finite list (given in [9]) of mutation-finite quivers that do not correspond to triangulations of marked surfaces. We show that A(X7) has a grading in which there are only two degrees, with infinitely many cluster variables in both. We also show that the gradings arising from Ee6, Ee7 and Ee8 …
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Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… at the Coulomb branch of balanced $ADE$-type quivers in a certain infinite rank limit. In this limit, the Poisson algebra is a semiclassical limit of the Yangian of $ADE$-type. The space of global sections of the line bundle is a graded representation of the Poisson algebra. We find that, as a …
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Graphs and Noncommutative Koszul Algebras
A new connection between combinatorics and noncommutative algebra is established by relating a certain class of directed graphs to noncommutative Koszul algebras. The directed graphs in this class are called full graphs and are defined by a set of criteria on the edges. The structural properties of …