Results 31 to 40 of about 2,948,149 (327)
From Tilings of Orientable Surfaces to Topological Interlocking Assemblies
Applied SciencesA topological interlocking assembly (TIA) is an assembly of blocks together with a non-empty subset of blocks called the frame such that every non-empty set of blocks is kinematically constrained and can therefore not be removed from the assembly without
Reymond Akpanya +2 more
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Quaternion Electromagnetism and the Relation with Two-Spinor Formalism
Universe, 2019 By using complex quaternion, which is the system of quaternion representation extended to complex numbers, we show that the laws of electromagnetism can be expressed much more simply and concisely.
In Ki Hong, Choong Sun Kim
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On the Representation Theory of Virasoro Nets [PDF]
Communications in Mathematical Physics, 2004 We discuss various aspects of the representation theory of the local nets of von Neumann algebras on the circle associated with positive energy representations of the Virasoro algebra (Virasoro nets). In particular we classify the local extensions of the $c=1$ Virasoro net for which the restriction of the vacuum representation to the Virasoro subnet is
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$(\ell, 0)$-Carter Partitions and their crystal theoretic interpretation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper we give an alternate combinatorial description of the "$(\ell,0)$-Carter partitions''. Our main theorem is the equivalence of our combinatoric and the one introduced by James and Mathas ($\textit{A q-analogue of the Jantzen-Schaper theorem}$
Chris Berg, Monica Vazirani
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Generalized Polarization Modules (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 This work enrols the research line of M. Haiman on the Operator Theorem (the old operator conjecture). This theorem states that the smallest $\mathfrak{S}_n$-module closed under taking partial derivatives and closed under the action of polarization ...
Héctor Blandin
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The Representation-Theory for Buckminsterfullerene
Journal of Algebra, 1994 The vibration normal modes of the molecule \(C_{60}\) are analyzed by group theoretical methods following Wigner's ideas of expressing the configuration space \(\mathbb{R}^{180}\) of the atomic displacements from equilibrium position as a direct sum of irreducible \(\mathbb{Q} G\)-modules.
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On Architecture and Landscape. Some Fragmentary Representations
DiségnoBetween 1928 and 1929, Sigurd Lewerentz designed and built Theodor Anton Bergen’s tomb on the islet Utterö, in an archipelago near Stockholm that can only be reached by boat. There are three known versions of the project [1].
Alberto Grijalba Bengoetxea +1 more
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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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3D concrete printing of topological interlocking blocks
Materials & DesignIn this work the feasibility of combining the concept of topological interlocking assemblies (TIA) with 3D concrete printing is investigated. In TIA, blocks are arranged in a manner that, when kinematically constrained by a surrounding frame, all blocks ...
Tom Goertzen +5 more
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Valued Graphs and the Representation Theory of Lie Algebras
Axioms, 2012 Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Joel Lemay
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