Results 21 to 30 of about 24,735 (283)
An Algebraic Approach to the Solutions of the Open Shop Scheduling Problem
Computation, 2023 The open shop scheduling problem (OSSP) is one of the standard scheduling problems. It consists of scheduling jobs associated with a finite set of tasks developed by different machines. In this case, each machine processes at most one operation at a time,
Agustín Moreno Cañadas +3 more
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Projective representations of quivers
International Journal of Mathematics and Mathematical Sciences, 2002 We prove that P1 →f P2 is a projective representation of a quiver Q=•→• if and only if P1 and P2 are projective left R-modules, f is an injection, and f (P 1)⊂P 2 is a summand.
Sangwon Park
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Combinatorics of Nahm sums, quiver resultants and the K-theoretic condition
Journal of High Energy Physics, 2021 Algebraic Nahm equations, considered in the paper, are polynomial equations, governing the q → 1 limit of the q-hypergeometric Nahm sums. They make an appearance in various fields: hyperbolic geometry, knot theory, quiver representation theory ...
Dmitry Noshchenko
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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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Wilson loops in 5d long quiver gauge theories
Journal of High Energy Physics, 2020 Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge ...
Christoph F. Uhlemann
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Mathematics, 2023 In this paper, we explore a process called neural teleportation, a mathematical consequence of applying quiver representation theory to neural networks.
Marco Armenta +7 more
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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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Re-gauging groupoid, symmetries and degeneracies for graph Hamiltonians and applications to the Gyroid wire network [PDF]
, 2015 We study a class of graph Hamiltonians given by a type of quiver representation to which we can associate (non)-commutative geometries. By selecting gauging data, these geometries are realized by matrices through an explicit construction or a Kan ...
Kaufmann, R. +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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Semi-invariants of symmetric quivers of finite type [PDF]
, 2009 Let $(Q,\sigma)$ be a symmetric quiver, where $Q=(Q_0,Q_1)$ is a finite quiver without oriented cycles and $\sigma$ is a contravariant involution on $Q_0\sqcup Q_1$. The involution allows us to define a nondegenerate bilinear form $$ on a representation $
A Schofield +19 more
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