Titlebook: Algebraic Modeling of Topological and Computational Structures and Applications; THALES, Athens, Gree Sofia Lambropoulou,Doros Theodorou,Lo

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Oxygen Precipitation in Silicon,In this paper we study the kernel of the homomorphism . of the braid group . in the handlebody . to the braid group .. We prove that this kernel is semi-direct product of free groups. Also, we introduce an algebra ., which is some analog of the Hecke algebra ., constructed by the braid group ..

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Representation Theory of Framisations of Knot AlgebrasWe study the algebraic structure and the representation theory of the Yokonuma–Hecke algebra of type ., its generalisations, the affine and cyclotomic Yokonuma–Hecke algebras, and its Temperley–Lieb type quotients, the Yokonuma–Temperley–Lieb algebra, the Framisation of the Temperley–Lieb algebra and the Complex Reflection Temperley–Lieb algebra.

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Interfacial Fracture in Alloy Steelshe Yokonuma–Hecke algebra of type .. More precisely, we present all three possible quotient algebras the emerged during this construction and we discuss their dimension, linear bases, representation theory and the necessary and sufficient conditions for the unique Markov trace of the Yokonuma–Hecke

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Fatigue Crack Initiation with Creephe other one was recently introduced by the author, J. Juyumaya and S. Lambropoulou. The purpose of this paper is to show the main concepts and results of both framizations, giving emphasis to the second one, and to provide a preliminary comparison of the invariants constructed from both framization

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