Applications of representation theory in discrete mathematics
In this thesis we present two new applications of the representation theory of finite groups in discrete mathematics. The first application is in coding theory. We further develop the theory of upper bounds for error-correcting codes and mixed binary/ternary codes, thereby expanding upon the work of Gijswijt et al. and Brouwer et al.
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A Perspective on the Origin of High‐Entropy Solid Electrolytes
This perspective critically examines HE approaches in SEs, highlighting how compositional complexity induces system disorder and local‐structure evolution to enhance stability and properties. While HE concepts are attractive, establishing rigorous structure‐property relationships requires further investigation.
Feipeng Zhao, Shumin Zhang, Xueliang Sun
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Announcement: Journal of Mathematical Physics introduces two new sections: Many-Body and Condensed Matter Physics and Representation Theory and Algebraic Methods [PDF]
Bruno Nachtergaele
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Aramid Nanofiber Aerogels: Preparation, Modification, Composite Fabrication, and Applications
Different forms of aramid nanofibers (ANFs) and especially aerogels from them, offer a sustainable route to high‐performance biomimetic nanocomposites. Due to the cartilage‐like architecture, ANF‐based materials enable breakthroughs in energy, electromagnetic, biomedical, and water purification technologies.
Mingqiang Wang+9 more
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An LLM‐based multi‐agent network screens academic literature to propose multiple environmentally friendly aqueous deep eutectic electrolytes for zinc‐ion batteries. Experiments identify an optimal composition of Zn(BF4)2·xH2O and ethylene carbonate, which shows high conductivity and cycling stability.
Matthew J. Robson+4 more
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Spin Engineering of Dual‐Atom Site Catalysts for Efficient Electrochemical Energy Conversion
This review highlights recent progress in spin engineering of dual‐atom site catalysts (DASCs), emphasizing how spin‐related properties enhance electrocatalytic activity, selectivity, and stability. It summarizes cutting‐edge developments in dual‐atom catalysis, discusses the underlying spin‐catalysis mechanisms and structure–performance relationships,
Dongping Xue+5 more
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R. Michael Howe: An invitation to representation theory. Polynomial representations of the symmetric group. Springer Undergraduate Mathematics Series. Cham: Springer, 2002, 229 Seiten, ISBN 978-3-030-98024-5/pbk, 978-3-030-98025-2/ebook [PDF]
Jürgen Müller
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R. J. Baston and M. G. Eastwood, The Penrose transform: its interaction with representation theory (Oxford Mathematical Monographs, Clarendon Press, Oxford1989), pp. 232, 019 853565 1, £25. [PDF]
T. N. Bailey
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