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八元数とモウフループと非可換シーケンス代数 - 2026/10/22の論文11本
プレプリどんどん: math.RA · 22 октября 2026 г. · 22 мин
arXiv math.RAの新着論文11本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-22/ Algebras with bounded multiplicities of the central cocharacters A sharp weighted commutator inequality for rank-one matrices Continuous spectrum-shrinking maps between finite-dimensional power-associative algebras Unitary similarity for dual complex matrices and dual quaternion matrices Closedness of bounded strength and partition rank loci The Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ Symmetries Ramified convolution and monodromy bases for symmetrizable Kac--Moody algebras Frobenius forms and semisimplicity of cyclotomic quiver Hecke superalgebras Extending Doi--Takeuchi correspondence to bimodules and noncommutative covers On unit groups of purely infinite rings Multiplying matrices via polynomials: exposition and barriers