3,732 research outputs found
New program with new approach for spectral data analysis
This article presents a high-throughput computer program, called EasyDD, for
batch processing, analyzing and visualizing of spectral data; particularly
those related to the new generation of synchrotron detectors and X-ray powder
diffraction applications. This computing tool is designed for the treatment of
large volumes of data in reasonable time with affordable computational
resources. A case study in which this program was used to process and analyze
powder diffraction data obtained from the ESRF synchrotron on an alumina-based
nickel nanoparticle catalysis system is also presented for demonstration. The
development of this computing tool, with the associated protocols, is inspired
by a novel approach in spectral data analysis.Comment: 20 pages and 4 figure
The biHecke monoid of a finite Coxeter group and its representations
For any finite Coxeter group W, we introduce two new objects: its cutting
poset and its biHecke monoid. The cutting poset, constructed using a
generalization of the notion of blocks in permutation matrices, almost forms a
lattice on W. The construction of the biHecke monoid relies on the usual
combinatorial model for the 0-Hecke algebra H_0(W), that is, for the symmetric
group, the algebra (or monoid) generated by the elementary bubble sort
operators. The authors previously introduced the Hecke group algebra,
constructed as the algebra generated simultaneously by the bubble sort and
antisort operators, and described its representation theory. In this paper, we
consider instead the monoid generated by these operators. We prove that it
admits |W| simple and projective modules. In order to construct the simple
modules, we introduce for each w in W a combinatorial module T_w whose support
is the interval [1,w]_R in right weak order. This module yields an algebra,
whose representation theory generalizes that of the Hecke group algebra, with
the combinatorics of descents replaced by that of blocks and of the cutting
poset.Comment: v2: Added complete description of the rank 2 case (Section 7.3) and
improved proof of Proposition 7.5. v3: Final version (typo fixes, picture
improvements) 66 pages, 9 figures Algebra and Number Theory, 2013. arXiv
admin note: text overlap with arXiv:1108.4379 by other author
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