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A decomposition of the group algebraof a hyperoctahedral group

Mathematische Zeitschrift, 2016
The descent algebra of a finite Coxeter group W is a subalgebra of the group algebra defined by Solomon. Descent algebras of symmetric groups have properties that are not shared by other Coxeter groups.
J. Douglass, Drew E. Tomlin
semanticscholar   +1 more source

Prime filtrations and Stanley decompositions of squarefree modules and Alexander duality

manuscripta mathematica, 2009
Let \(K\) be a field, \(S=K[x_1,\dots,x_n]\) the polynomial \(K\)-algebra in \(n\) variables and \(M\) a \({\mathbb Z}^n\)-graded finitely generated \(S\)-module. If \(m\in M\) is a \({\mathbb Z}^n\)-homogeneous element and \(Z\subset \{x_1\dots,x_n\}\) then \(mK[Z]\) is a Stanley space if it is free over \(K[Z]\). A decomposition \(\mathcal D\) of \(M\
openaire   +1 more source

Commutative algebra-enhanced topological data analysis

arXiv.org
Topological Data Analysis (TDA) combines computational topology and data science to extract and analyze intrinsic topological and geometric structures in data set in a metric space.
Chuan-Shen Hu   +4 more
semanticscholar   +1 more source

Nonlinear Model Predictive Control with Velocity Mapping Method for Path Tracking of Dual Differential Drive Mobile Robot

International Conference on Control, Automation and Systems
Mobile robots equipped with differential drive modules on both the front and rear-referred to in this study as Dual Differential Drive Mobile Robots (D3MRs)-pose unique control challenges due to a structural mismatch between modeling and actuation. While
Taemin Kang, Taeyoung Kim, Dongsoo Har
semanticscholar   +1 more source

3-D Antenna Radiation Pattern Reconstruction in a Reverberation Chamber Using Spherical Wave Decomposition

IEEE Transactions on Antennas and Propagation, 2017
Qian Xu   +6 more
semanticscholar   +1 more source

The constriction decomposition method for coverage path planning

IEEE/RJS International Conference on Intelligent RObots and Systems, 2016
Stanley Brown, Steven L. Waslander
semanticscholar   +1 more source

Bacillus subtilis biofilm formation and social interactions

Nature Reviews Microbiology, 2021
Sofia Arnaouteli   +2 more
exaly  

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