Results 21 to 30 of about 18,171 (278)
New quantum toroidal algebras from 5D N $$ \mathcal{N} $$ = 1 instantons on orbifolds
Journal of High Energy Physics, 2020 Quantum toroidal algebras are obtained from quantum affine algebras by a further affinization, and, like the latter, can be used to construct integrable systems.
Jean-Emile Bourgine, Saebyeok Jeong
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Diagram automorphisms of quiver varieties [PDF]
, 2014 We show that the fixed-point subvariety of a Nakajima quiver variety under a diagram automorphism is a disconnected union of quiver varieties for the `split-quotient quiver' introduced by Reiten and Riedtmann.
Henderson, Anthony, Licata, Anthony
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Rational points of quiver moduli spaces [PDF]
, 2019 For a perfect field $k$, we study actions of the absolute Galois group of $k$ on the $\bar{k}$-valued points of moduli spaces of quiver representations over $k$; the fixed locus is the set of $k$-rational points and we obtain a decomposition of this ...
Hoskins, Victoria, Schaffhauser, Florent
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Counting Quiver Representations over Finite Fields Via Graph Enumeration [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $\Gamma$ be a quiver on $n$ vertices $v_1, v_2, \ldots , v_n$ with $g_{ij}$ edges between $v_i$ and $v_j$, and let $\boldsymbol{\alpha} \in \mathbb{N}^n$.
Geir Helleloid +1 more
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On the Auslander-Reiten Quiver of the Representations of an Infinite Quiver [PDF]
Algebras and Representation Theory, 2012 Let Q be a strongly locally finite quiver and denote by rep(Q) the category of locally finite dimensional representations of Q over some fixed field k. The main purpose of this paper is to get a better understanding of rep(Q) by means of its Auslander-Reiten quiver. To achieve this goal, we define a category C(Q) which is a full, abelian and Hom-finite
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Homological approach to the Hernandez-Leclerc construction and quiver varieties [PDF]
, 2013 In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of arbitrary quiver Grassmannians.
Feigin, Evgeny +2 more
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Transfinite Tree Quivers and their Representations
MATHEMATICA SCANDINAVICA, 2013 The idea of "vertex at the infinity" naturally appears when studying indecomposable injective representations of tree quivers. In this paper we formalize this behavior and find the structure of all the indecomposable injective representations of a tree quiver of size an arbitrary cardinal $\kappa$.
Enochs, E., Estrada, S., Ozdemir, S.
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THE MONOID OF FAMILIES OF QUIVER REPRESENTATIONS [PDF]
Proceedings of the London Mathematical Society, 2002 A monoid structure on families of representations of a quiver is introduced by taking extensions of representations in families, that is, subvarieties of the varieties of representations. The study of this monoid leads to interesting interactions between representation theory, algebraic geometry and quantum group theory.
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A Universal Investigation of $n$-representations of $n$-quivers [PDF]
Categories and General Algebraic Structures with Applications, 2019 noindent We have two goals in this paper. First, we investigate and construct cofree coalgebras over $n$-representations of quivers, limits and colimits of $n$-representations of quivers, and limits and colimits of coalgebras in the monoidal categories ...
Adnan Abdulwahid
doaj
Homotopy Category of Cotorsion Flat Representations of Quivers [PDF]
Mathematics Interdisciplinary Research, 2020 Recently in [10], it was proved that over any ring R, there exists a complete cotorsion pair (Kp(Flat-R); K(dg-CotF-R)) in K(Flat-R), the homotopy category of complexes of flat R-modules, where Kp(Flat-R) and K(dg-CotF-R) are the homotopy categories ...
Hossein Eshraghi
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