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Extension of an algebraic intermittency model for better prediction of transition in separated layers under strong free-stream turbulence Ghent University
A constitutive law describing the Reynolds stresses in boundary layers undergoing laminar-to-turbulent transition, constructed in previous work by elastic-net regression on an experimental data base, is used to improve an algebraic transition model for cases with transition in a separated layer influenced by a high level of free-stream turbulence. The basic transition model is extended by an additional production term in the transport equation ...
Strong group coalgebras Vrije Universiteit Brussel
We introduce strong group coalgebras, as a generalization of strongly graded coalgebras.
We give several characterizations, and study two special types of strong group coalgebras,
namely cleft group algebras (or crossed coproduct group coalgebras) and smash
coproduct group coalgebras.
We give several characterizations, and study two special types of strong group coalgebras,
namely cleft group algebras (or crossed coproduct group coalgebras) and smash
coproduct group coalgebras.
E$_{6(6)}$ Exceptional Drinfel'd Algebras Vrije Universiteit Brussel
The exceptional Drinfel'd algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence it provides an M-theoretic analogue of the way a Drinfel'd double encodes generalised T-dualities of strings. In this note we detail the construction of the EDA in the case where the regular U-duality group is $E_{6(6)}$. We show how the EDA can be realised ...
Brane current algebras and generalised geometry from QP manifolds Vrije Universiteit Brussel
We construct a Poisson algebra of brane currents from a QP-manifold (alias symplectic $L_\infty$-algebroid), and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with worldvolume gauge fields, such as the D3 and M5. Our result yields a universal expression for the 't Hooft anomaly that afflicts isometries in the presence of ...
An algebraic reconstruction technique for the study of local structural changes during CT University of Antwerp
If an object undergoes structural changes during a CT-scan, artefacts are introduced in the reconstruction. Current methods that compensate for these changes assume a continuous deformation model, which is insufficient to capture the complexity of structural changes. In this paper, an iterative method is proposed that incorporates prior knowledge about the changing region in the reconstruction algorithm, which results in significantly more ...
A reduction theorem for τ -rigid modules Vrije Universiteit Brussel
We prove a theorem which gives a bijection between the support τ-tilting modules over a given finite-dimensional algebra A and the support τ-tilting modules over A / I, where I is the ideal generated by the intersection of the center of A and the radical of A. This bijection is both explicit and well-behaved. We give various corollaries of this, with a particular focus on blocks of group rings of finite groups. In particular we show that ...