Browsing by Subject "Multiplicity"

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    1-GO 1-E: the development of durational aesthetics in mixed media sculpture
    (2020-06) Teğin, Alp E.
    This thesis investigates the development of a technique for the depiction of motion in painting through mixed media sculpture. Utilizing stacked glass layers as the spatial medium, 1-Go 1-E conceptualizes the technique utilized in the creation of barrier grid animations to be used in painting. Examining the concept of movement through the composite of Henri Bergson’s conception of qualitative and quantitative multiplicities, this thesis merges both to create a workflow for the creation of stacked glass mixed media sculptures.
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    A filtration of the modular representation functor
    (Academic Press, 2007) Yaraneri, E.
    Let F and K be algebraically closed fields of characteristics p > 0 and 0, respectively. For any finite group G we denote by K RF (G) = K ⊗Z G0 (F G) the modular representation algebra of G over K where G0 (F G) is the Grothendieck group of finitely generated F G-modules with respect to exact sequences. The usual operations induction, inflation, restriction, and transport of structure with a group isomorphism between the finitely generated modules of group algebras over F induce maps between modular representation algebras making K RF an inflation functor. We show that the composition factors of K RF are precisely the simple inflation functors SC, Vi where C ranges over all nonisomorphic cyclic p′-groups and V ranges over all nonisomorphic simple K Out (C)-modules. Moreover each composition factor has multiplicity 1. We also give a filtration of K RF. © 2007 Elsevier Inc. All rights reserved.