Unoriented quivers with flavour
نویسندگان
چکیده
منابع مشابه
Signed Quivers, Symmetric Quivers, and Root Systems.
We define a special sort of weighted oriented graphs, signed quivers. Each of these yields a symmetric quiver, i.e., a quiver endowed with an involutive anti-automorphism and the inherited signs. We develop a representation theory of symmetric quivers, in particular we describe the indecom-posable symmetric representations. Their dimensions constitute root systems corresponding to certain symme...
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Farrell and Hsiang [2, p. 102] noticed that [5] implies that the geometric surgery groups defined in [6, Chapter 9] do not have the naturality Wall claims for them. Augmenting Wall’s definitions using spaces over RP∞ and line bundles they fixed the problem. The definition of geometric Wall groups involves homology with local coefficients and these also lack Wall’s claimed naturality. One would ...
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Each Coxeter element c of a Coxeter group W defines a subset of W called the c-sortable elements. The choice of a Coxeter element of W is equivalent to the choice of an acyclic orientation of the Coxeter diagram of W . In this paper, we define a more general notion of Ω-sortable elements, where Ω is an arbitrary orientation of the diagram, and show that the key properties of c-sortable elements...
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We show that the bases of irreducible integrable highest weight module of a non-symmetric Kac-Moody algebra, which is associated to a quiver with a nontrivial admissible automorphism, can be naturally identified with a set of certain invariant Langrangian irreducible subvarieties of certain varieties associated with the quiver defined by Nakajima. In the case of non-symmetric affine or finite K...
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Let Λ be a basic finite dimensional algebra over an algebraically closed field K. Tameness of the representation type of Λ – the only situation in which one can, at least in principle, meaningfully classify all finite dimensional representations of Λ – is a borderline phenomenon. However, even in the wild scenario, it is often possible to obtain a good grasp of the “bulk” of d-dimensional repre...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2014
ISSN: 1029-8479
DOI: 10.1007/jhep01(2014)128