Results 21 to 30 of about 324,788 (288)
Auslander algebras and initial seeds for cluster algebras [PDF]
, 2005 Let $Q$ be a Dynkin quiver and $\Pi$ the corresponding set of positive roots. For the preprojective algebra $\Lambda$ associated to $Q$ we produce a rigid $\Lambda$-module $I_Q$ with $r=|\Pi|$ pairwise non-isomorphic indecomposable direct summands by ...
Geiß, Christof +2 more
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CLUSTER CATEGORIES FROM GRASSMANNIANS AND ROOT COMBINATORICS [PDF]
Nagoya Mathematical Journal, 2019 The category of Cohen–Macaulay modules of an algebra $B_{k,n}$ is used in Jensen et al. (A categorification of Grassmannian cluster algebras, Proc. Lond. Math. Soc. (3) 113(2) (2016), 185–212) to give an additive categorification of the cluster algebra structure on the homogeneous coordinate ring of the Grassmannian of $k$-planes in $n$-space.
KARIN BAUR +2 more
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New Practical Advances in Polynomial Root Clustering [PDF]
, 2020 We report an ongoing work on clustering algorithms for complex roots of a univariate polynomial $p$ of degree $d$ with real or complex coefficients. As in their previous best subdivision algorithms our root-finders are robust even for multiple roots of a polynomial given by a black box for the approximation of its coefficients, and their complexity ...
Imbach, Rémi, Pan, Victor Y.
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The zeros of random polynomials cluster uniformly near the unit circle [PDF]
, 2006 In this paper we deduce a universal result about the asymptotic distribution of roots of random polynomials, which can be seen as a complement to an old and famous result of Erdos and Turan. More precisely, given a sequence of random polynomials, we show
Hughes, C. P., Nikeghbali, A.
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Roots of composite polynomials—an application to root clustering
Linear Algebra and its Applications, 1987 A direct theory for composite polynomials is developed as an application to root clustering through the characteristic polynomial of the composite matrix having the eigenvalues corresponding to a given matrix.
Taub, Hedi, Gutman, Shaul
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Generalised cluster algebras and $q$-characters at roots of unity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Shapiro and Chekhov (2011) have introduced the notion of generalised cluster algebra; we focus on an example in type $C_n$. On the other hand, Chari and Pressley (1997), as well as Frenkel and Mukhin (2002), have studied the restricted integral form $U^{\
Anne-Sophie Gleitz
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Discrete Mathematics & Theoretical Computer Science, 2012 We present a family of simplicial complexes called \emphmulti-cluster complexes. These complexes generalize the concept of cluster complexes, and extend the notion of multi-associahedra of types ${A}$ and ${B}$ to general finite Coxeter groups.
Cesar Ceballos +2 more
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Frontiers in Nutrition, 2022 Dietary diversity is an important indicator of child malnutrition. However, little is known about the geographic variation of diet indicators across India, particularly within districts and across states.
Anoop Jain +6 more
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Non-perturbative geometries for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes
Journal of High Energy Physics, 2021 There is a remarkable well-known connection between the G(4, n) cluster algebra and n-particle amplitudes in N $$ \mathcal{N} $$ = 4 SYM theory. For n ≥ 8 two long-standing open questions have been to find a mathematically natural way to identify a ...
Nima Arkani-Hamed +2 more
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A Gabriel-type theorem for cluster tilting
, 2013 We study the relationship between $n$-cluster tilting modules over $n$ representation finite algebras and the Euler forms. We show that the dimension vectors of cluster-indecomposable modules give the roots of the Euler form.
Mizuno, Yuya
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