Results 81 to 90 of about 1,281,981 (325)
A Simple Expression for the Casimir Operator on a Lie Group [PDF]
Proceedings of the American Mathematical Society, 1979 The expression for the Casimir operator for a real semisimple Lie group G in terms of coordinates given by the Iwasawa decomposition G = K A N G = KAN reduces on G/N to the difference of an elliptic operator with constant coefficients on A and an invariant operator on M.
openaire +2 more sources
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.A high‐performance n‐type element for quasi‐solid‐state thermocells has been introduced, outperforming conventional p‐type elements and showcasing the potential to harness body heat as an energy source or power embedded sensors. This advance significantly contributes to waste thermal energy harvesting and wearable technology, paving the way for self ...
Gilyong Shin +10 more
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Poisson-Lie duals of the η deformed symmetric space sigma model
Journal of High Energy Physics, 2017 Poisson-Lie dualising the η deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated λ deformed model.
Ben Hoare, Fiona K. Seibold
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Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
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Nonlinear potential filtration equation and global actions of Lie symmetries
Electronic Journal of Differential Equations, 2009 The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
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An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
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Identities with coefficients in simple compact Lie groups [PDF]
, 2022 Michael Larsen, Aner Shalev
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Advanced Functional Materials, EarlyView.In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund +6 more
wiley +1 more source
On G-finitistic spaces and related notions
International Journal of Mathematics and Mathematical Sciences, 1992 Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where
Satya Deo, Janak Singh Andotra
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
Acta Polytechnica, 2016 Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
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