Academic literature on the topic 'Littlewood-Richardson coefficients'

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Journal articles on the topic "Littlewood-Richardson coefficients"

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Ikenmeyer, Christian. "Small Littlewood–Richardson coefficients." Journal of Algebraic Combinatorics 44, no. 1 (2016): 1–29. http://dx.doi.org/10.1007/s10801-015-0658-2.

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Brundan, Jonathan, and Alexander Kleshchev. "Modular Littlewood-Richardson coefficients." Mathematische Zeitschrift 232, no. 2 (1999): 287–320. http://dx.doi.org/10.1007/s002090050516.

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Bergeron, François, Riccardo Biagioli, and Mercedes H. Rosas. "Inequalities between Littlewood–Richardson coefficients." Journal of Combinatorial Theory, Series A 113, no. 4 (2006): 567–90. http://dx.doi.org/10.1016/j.jcta.2005.05.002.

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King, Ronald C., Christophe Tollu, and Frédéric Toumazet. "Factorisation of Littlewood–Richardson coefficients." Journal of Combinatorial Theory, Series A 116, no. 2 (2009): 314–33. http://dx.doi.org/10.1016/j.jcta.2008.06.005.

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Gutschwager, Christian. "Generalised stretched Littlewood–Richardson coefficients." Journal of Combinatorial Theory, Series A 118, no. 6 (2011): 1829–42. http://dx.doi.org/10.1016/j.jcta.2011.02.005.

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Bürgisser, Peter, and Christian Ikenmeyer. "Deciding Positivity of Littlewood--Richardson Coefficients." SIAM Journal on Discrete Mathematics 27, no. 4 (2013): 1639–81. http://dx.doi.org/10.1137/120892532.

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Ikenmeyer, Christian. "Erratum to: Small Littlewood–Richardson coefficients." Journal of Algebraic Combinatorics 44, no. 1 (2016): 31–32. http://dx.doi.org/10.1007/s10801-016-0690-x.

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Cho, Soojin, and Dongho Moon. "Reduction formulae of Littlewood–Richardson coefficients." Advances in Applied Mathematics 46, no. 1-4 (2011): 125–43. http://dx.doi.org/10.1016/j.aam.2009.12.005.

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Berenstein, Arkady, and Edward Richmond. "Littlewood–Richardson coefficients for reflection groups." Advances in Mathematics 284 (October 2015): 54–111. http://dx.doi.org/10.1016/j.aim.2015.07.017.

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Fomin, Sergey, William Fulton, Chi-Kwong Li, and Yiu Tung Poon. "Eigenvalues, singular values, and Littlewood-Richardson coefficients." American Journal of Mathematics 127, no. 1 (2005): 101–27. http://dx.doi.org/10.1353/ajm.2005.0005.

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Dissertations / Theses on the topic "Littlewood-Richardson coefficients"

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Rassart, Étienne 1975. "Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/16632.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.<br>Includes bibliographical references (p. 119-125).<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Using tools from combinatorics, convex geometry and symplectic geometry, we study the behavior of the Kostka numbers and Littlewood-Richardson coefficients (the type A weight multiplicities and Clebsch-Gordan coefficients). We sh w that both are given by piecewise polynomial functions in the entries of the pa
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Cochet, Charles. "Réduction des graphes de Goresky-Kottwitz-MacPherson ; nombres de Kostka et coefficients de Littlewood-Richardson." Phd thesis, Université Paris-Diderot - Paris VII, 2003. http://tel.archives-ouvertes.fr/tel-00005168.

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Ce travail concerne la réalisation concrète en calcul formel d'algorithmes abstraits issus de publications récentes. Il comporte deux parties distinctes mais cependant issues du m(ê)me monde : l'action d'un groupe de Lie, sur une variété ou un espace vectoriel. La première partie traite de l'implémentation de la réduction d'un graphe de Goresky-Kottwitz-MacPherson. Ce graphe est l'analogue combinatoire d'une variété symplectique compacte connexe soumise à une action hamiltonienne d'un tore compact. La seconde partie est consacrée à l'implémentation du calcul de deux coefficients intervenant lo
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Ikenmeyer, Christian Verfasser], Johannes [Akademischer Betreuer] Blömer, Peter [Akademischer Betreuer] Bürgisser, and Joseph M. [Akademischer Betreuer] [Landsberg. "Geometric complexity theory, tensor rank, and Littlewood-Richardson coefficients / Christian Ikenmeyer. Betreuer: Johannes Blömer ; Peter Bürgisser ; Joseph M. Landsberg." Paderborn : Universitätsbibliothek, 2012. http://d-nb.info/1036891380/34.

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Ikenmeyer, Christian Verfasser], Johannes [Akademischer Betreuer] Blömer, Peter [Akademischer Betreuer] [Bürgisser, and Joseph M. [Akademischer Betreuer] Landsberg. "Geometric complexity theory, tensor rank, and Littlewood-Richardson coefficients / Christian Ikenmeyer. Betreuer: Johannes Blömer ; Peter Bürgisser ; Joseph M. Landsberg." Paderborn : Universitätsbibliothek, 2012. http://nbn-resolving.de/urn:nbn:de:hbz:466:2-10472.

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Kfoury, Dimitry. "Calcul de Schubert affine et formules de Pieri." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0215.

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Les formules de Pieri sont des formules qui permettent de comprendre la structure d'algèbre de cohomologie de la Grassmannienne (affine) ou même celle des variété de Drapeaux. Plusieurs sont déjà établies dans quelques types et cas particuliers. Cependant ce problème reste encore ouvert pour la plupart des cas affines, en particulier pour trouver des formules de Pieri dans "H^*(\mathcal{G}r_G)" en types "B", "C" et "D".Dans cette thèse, même si on généralise quelques résultats pour un groupe de Weyl affine non-tordu général, on explore principalement les types A et C.Dans la variété de drapeau
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Book chapters on the topic "Littlewood-Richardson coefficients"

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King, R., C. Tollu, and F. Toumazet. "Stretched Littlewood-Richardson and Kostka coefficients." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2004. http://dx.doi.org/10.1090/crmp/034/10.

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Zelevinsky, Andrei. "From Littlewood-Richardson Coefficients to Cluster Algebras in Three Lectures." In Symmetric Functions 2001: Surveys of Developments and Perspectives. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0524-1_7.

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Harris, Pamela E., and Jeb F. Willenbring. "Sums of squares of Littlewood–Richardson coefficients and GL n -harmonic polynomials." In Symmetry: Representation Theory and Its Applications. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1590-3_11.

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Abbes, Heithem, Franck Butelle, and Christophe Cérin. "Parallelization of Littlewood-Richardson Coefficients Computation and its Integration into the BonjourGrid Meta-Desktop Grid Middleware." In Applications and Developments in Grid, Cloud, and High Performance Computing. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2065-0.ch013.

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This paper shows how to parallelize a compute intensive application in mathematics (Group Theory) for an institutional Desktop Grid platform coordinated by a meta-grid middleware named BonjourGrid. The paper is twofold: it shows how to parallelize a sequential program for a multicore CPU which participates in the computation; and it demonstrates the effort for launching multiple instances of the solutions for the mathematical problem with the BonjourGrid middleware. BonjourGrid is a fully decentralized Desktop Grid middleware. The main results of the paper are: a) an efficient multi-threaded version of a sequential program to compute Littlewood-Richardson coefficients, namely the Multi-LR program and b) a proof of concept, centered around the user needs, for the BonjourGrid middleware dedicated to coordinate multiple instances of programsfor Desktop Grids and with the help of Multi-LR. In this paper, the scientific work consists in starting from a model for the solution of a compute intensive problem in mathematics, to incorporate the concrete model into a middleware and running it on commodity PCs platform managed by an innovative meta Desktop Grid middleware.
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