Representations of differential operators on a Lie group
Journal of Functional Analysis, 1975 AbstractIn this paper we apply the theory of second-order partial differential operators with nonnegative characteristic form to representations of Lie groups. We are concerned with a continuous representation U of a Lie group G in a Banach space B. Let E be the enveloping algebra of G, and let dU be the infinitesimal homomorphism of E into operators ...
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International Journal of Adaptive Control and Signal Processing, EarlyView.Workflow of the parameter optimization process for ITSC fault detection, applying Differential Evolution optimization and the Smooth Pseudo Wigner‐Ville Distribution for signal processing. The optimized parameters are then used in the failure identification pipeline, which combines the signal processing with a YOLO‐based architecture for fault severity
Rafael Martini Silva +4 more
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The Schrödinger-Virasoro Lie Group and Algebra: Representation Theory and Cohomological Study [PDF]
, 2006 Claude Roger, Jérémie Unterberger
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The Immobilization of Hyaluronic Acid in 3D Hydrogel Scaffolds Modulates Macrophage Polarization
Advanced Biology, EarlyView.This study explores the use of collagen‐hyaluronic acid (HA) hydrogels for the 3D culture of macrophages, providing a useful tool for modelling macrophage behavior in tissues and diseases. It highlights how hydrogel composition, mechanical properties, and preparation methods influence macrophage behavior, revealing for the first time that HA's ...
Tiah CL Oates +7 more
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Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity
AxiomsWe propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds.
Viktor Abramov
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On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
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Cartan geometry, Lie and representation theory, Integrable Systems, quantum Groups and quantum computing towards the understanding of the geometry of deep Learning and its Applications [PDF]
, 2022 openalex +1 more source
Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
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Asymptotic dimension of invariant subspace in tensor product representation of compact Lie group [PDF]
, 2009 Taro Suzuki, Tatsuru Takakura
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
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