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Reflection equation algebra in braided geometry
Journal of Generalized Lie Theory and Applications. 2008. Vol. 2. No. 3. P. 162–174.
Braided geometry is a sort of the noncommutative geometry related to a braiding. The
central role in this geometry is played by the reflection equation algebra associated with a braiding of the Hecke type. Using this algebra, we introduce braided versions of the Lie algebras gl(n) and sl(n). We further define braided analogs of the coadjoint orbits and the vector fields on a q-hyperboloid which is the simplest example of a ”braided orbit”. Besides, we present a braided version of the Cayley-Hamilton identity generalizing the result of Kantor and Trishin on the super-matrix characteristic identities.
Research target:
Philosophy, Ethics, and Religious Studies
Language:
English
Sergey Slavnov, / Series math "arxiv.org". 2026.
A prototypical example of categorial grammars are those based on Lambek calculus, i.e. noncommutative intuitionistic linear logic. However, it has been noted that purely noncommutative operations are often not sufficient for modeling even very simple natural language phenomena. Therefore a number of alternative formalisms are considered in the literature: those using purely ``commutative'' linear logic ...
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Kapustin B., М.: Издательство Института Гайдара, 2026.
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Макс Шелер (1874–1928) является одной из ключевых фигур в философии XX века. Прожив сравнительно короткую жизнь, он оставил яркий след в европейской философской мысли, в своих сочинениях осуществив глубокую и фундаментальную разработку основных областей философского знания. Всегда чувствуя актуальные тенденции современного мира и живо, со всей страстью своей спонтанности откликаясь на них, Шелер не случайно ...
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This book brings together two texts by the Spanish philosopher José Ortega y Gasset (1883–1955) that explore the role of technology throughout history: "Meditations on Technology"—originally a short series of lectures delivered at the Summer University of Santander in 1933—and the paper "The Myth of Man Behind Technology" (1951), presented as part of the "Darmstadt ...
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ИДВ РАН, 2026.
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PRAV Publishing, 2026.
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Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
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