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Complex Reflections and Polynomial Generators of Homotopy Groups
Journal of Lie Theory, 1996Summary: Starting from suitable maps of the form \(\psi : \mathbb{S}^n \to \text{SU} (m)\), for large \(m\), we obtain functions \(\theta : \mathbb{S}^n \to \text{SU} (k)\) that generate \(\pi_n \text{SU} (k)\), for certain \(n\) and \(k\). We have used this method in elementary algebraic topology courses for purposes of illustration, since it requires
Chaves, Lucas M., Rigas, A.
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Towards a Schubert calculus for complex reflection groups
Mathematical Proceedings of the Cambridge Philosophical Society, 2003Summary: The cohomology ring of the flag manifold associated to any compact Lie group has a simple description in terms of the Weyl group of \(G\). The same algebraic procedure gives a ring associated to any complex reflection group, not necessarily a Weyl group, but much less is known about it.
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The root lattices of the complex reflection groups
Journal of Group Theory, 1999Starting from the classification of finite complex reflection groups by \textit{G. C. Shephard} and \textit{J. A. Todd} [Can. J. Math. 6, 274-304 (1954; Zbl 0055.14305)], the first main theorem of this paper describes the root lattices of those groups using so-called primitive root lattices and their inclusion patterns, which in cases of the 34 ...
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Correction of Complex Permittivity Inversion in Free-Space Gaussian Beam Reflection Model
IEEE Transactions on Antennas and Propagation, 2021Yong Gao, Yunpeng Zhang, Jing Zhang
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Power reflection coefficient analysis for complex impedances in RFID tag design
IEEE Transactions on Microwave Theory and Techniques, 2005K V S Rao, P V Nikitin
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Multivariate diagonal coinvariant spaces for complex reflection groups
Advances in Mathematics, 2013François Bergeron
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The effect of complex defect profiles on the reflection of the fundamental torsional mode in pipes
NDT and E International, 2012Peter Cawley
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