Rook Theory of the Finite General Linear Group
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DOI: 10.1080/10586458.2018.1470045
Abstract: ABSTRACT Matrices over a finite field having fixed rank and restricted support are a natural q-analog of rook placements on a board, even though their enumeration is known to yield nonpolynomial answers in some cases.… read more here.
Keywords: linear group; rook theory; general linear; finite general ... See more keywords
A Robust Algorithm for the Design of Wideband Positive-Slope Linear Group Delay Filters
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DOI: 10.1109/tcsi.2022.3183787
Abstract: This article proposes a robust method for the synthesis and design of optimal linear group delay filters with prescribed bandwidth and dispersion properties. The proposed filters are based on a cascade of second-order all-pass filter… read more here.
Keywords: group; group delay; positive slope; linear group ... See more keywords
A characterization of invertible algebras linear over a group by second-order formulas
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DOI: 10.1142/s0219498817502383
Abstract: In this paper, the left (right) h-nucleus of an invertible algebra is defined and its connection with regular permutations of the invertible algebra is investigated. Using the notions of the h-nucl... read more here.
Keywords: algebras linear; group second; characterization invertible; second order ... See more keywords