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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Elliott, G.A. (George); Fang, X. (Xiaochun);
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Münstersches Informa...arrow_drop_down
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Institut für Hydromechanik;
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ KITopenarrow_drop_down
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Kus, Deniz;

    The representation theory of (twisted) loop and current algebras has gained a lot of attraction during the last decades, e.g. local Weyl modules, Demazure modules and Kirillov-Reshetikhin modules were investigated intensively. The equivariant map algebras are a large class of algebras that are generalizations of (twisted) loop and current algebras. We have extended the definition of local Weyl modules to the setting of equivariant map algebras where g is semisimple, X is affine of finite type, and the group T is abelian and acts freely on X. We have established a link, particularly an isomorphism, between certain categories of representations of equivariant map algebras and their untwisted analogues. We have also shown that other properties of local Weyl modules (e.g. their characterization by homological properties and a tensor product property) extend to the more general setting of equivariant map algebras. When the assumption of freeness does not hold we have investigated local Weyl modules for twisted current algebras. We have identified them with corresponding affine Demazure modules and have given an explicit construction from untwisted Weyl modules which generalize the fusion product. Therefore, we deduce from these results dimension and character formulas. On the combinatorial representation theory side, we have given an explicit realization of Kirillov-Reshetikhin crystals for the affine type A via polytopes. The advantage of this realization is mainly the fact that all formulas are explicit. This realization allows to describe explicitly the combinatorics of crystal bases of Kirillov-Reshetikhin modules.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Kölner UniversitätsP...arrow_drop_down
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    Authors: Brenken, B. (Berndt);

    A topological graph, or quiver, is a directed graph where the edge and vertex spaces are topological spaces. The C*-algebra associated with the graph is a Cuntz-Pimsner algebra of an associated C*-correspondence over an abelian C*-algebra. For a given graph satisfying a properness hypothesis we construct and abstractly characterize a subgraph containing the iterative dynamical core of the original graph. The C*-algebra of this subgraph is a quotient of the C*-algebra of the graph, and under some additional assumptions is a crossed product C*-algebra by a shift endomorphism. This is accomplished using a composition product of topological graphs.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Münstersches Informa...arrow_drop_down
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  • Authors: Aczél, J., Schwaiger, J.;
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    Authors: Universität <Frankfurt, Main>;
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    Authors: Christoph Szepanski;
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    Libreas : Library Ideas
    Article . 2015
    Data sources: DOAJ-Articles
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      Libreas : Library Ideas
      Article . 2015
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7 Research products
  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Elliott, G.A. (George); Fang, X. (Xiaochun);
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Münstersches Informa...arrow_drop_down
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
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    Authors: Institut für Hydromechanik;
    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ KITopenarrow_drop_down
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    KITopen
    Report . 2006
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    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
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      Report . 2006
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Kus, Deniz;

    The representation theory of (twisted) loop and current algebras has gained a lot of attraction during the last decades, e.g. local Weyl modules, Demazure modules and Kirillov-Reshetikhin modules were investigated intensively. The equivariant map algebras are a large class of algebras that are generalizations of (twisted) loop and current algebras. We have extended the definition of local Weyl modules to the setting of equivariant map algebras where g is semisimple, X is affine of finite type, and the group T is abelian and acts freely on X. We have established a link, particularly an isomorphism, between certain categories of representations of equivariant map algebras and their untwisted analogues. We have also shown that other properties of local Weyl modules (e.g. their characterization by homological properties and a tensor product property) extend to the more general setting of equivariant map algebras. When the assumption of freeness does not hold we have investigated local Weyl modules for twisted current algebras. We have identified them with corresponding affine Demazure modules and have given an explicit construction from untwisted Weyl modules which generalize the fusion product. Therefore, we deduce from these results dimension and character formulas. On the combinatorial representation theory side, we have given an explicit realization of Kirillov-Reshetikhin crystals for the affine type A via polytopes. The advantage of this realization is mainly the fact that all formulas are explicit. This realization allows to describe explicitly the combinatorics of crystal bases of Kirillov-Reshetikhin modules.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Kölner UniversitätsP...arrow_drop_down
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    Authors: Brenken, B. (Berndt);

    A topological graph, or quiver, is a directed graph where the edge and vertex spaces are topological spaces. The C*-algebra associated with the graph is a Cuntz-Pimsner algebra of an associated C*-correspondence over an abelian C*-algebra. For a given graph satisfying a properness hypothesis we construct and abstractly characterize a subgraph containing the iterative dynamical core of the original graph. The C*-algebra of this subgraph is a quotient of the C*-algebra of the graph, and under some additional assumptions is a crossed product C*-algebra by a shift endomorphism. This is accomplished using a composition product of topological graphs.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Münstersches Informa...arrow_drop_down
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  • Authors: Aczél, J., Schwaiger, J.;
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    Authors: Universität <Frankfurt, Main>;
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