LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO(2) CASE by Enrico Celeghini, Manuel Gadella, Mariano A del Olmo

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Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus by Palle Jorgensen, Feng Tian

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Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation by Nader Ali Makboul Hassan

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Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems by Anatolij K. Prykarpatski

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On Representations of sl(n, C) Compatible with a Z2-grading by M. Havlíček, E. Pelantová, J. Tolar

“…<p>This paper extends existing Lie algebra representation theory related to Lie algebra gradings. …”
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Kelvin Notation for Stabilizing Elastic-Constant Inversion Notation Kelvin pour stabiliser l'inversion de constantes élastiques by Dellinger J., Vasicek D., Sondergeld C.

“…The rotational parameters are defined using a Lie-algebra representation that avoids the artificial degeneracies and coordinate-system bias that can occur with standard polar representations. …”
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Lie groups, Lie algebras, and their representations / by 189908 Varadarajan, V. S.

Lie groups beyond an introduction / by 228552 Knapp, Anthony W.

Graduate texts in mathematics : lie groups, lie algebras and representations (v. 222) / by 234603 Hall, Brian

Yangians and Yang–Baxter R-operators for ortho-symplectic superalgebras by J. Fuksa, A.P. Isaev, D. Karakhanyan, R. Kirschner

“…We investigate the condition for L(u) in the case of the truncated expansion in inverse powers of u and give examples of Lie algebra representations obeying these conditions. We construct the R-operator intertwining two superspinor representations and study the fusion of L-operators involving the tensor product of such representations.…”
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Order Filter Model for Minuscule Plücker Relations by David C Lax

“…To do this we combinatorially model the Plücker coordinates based on Wild-berger’s construction of minuscule Lie algebra representations; it uses the colored partially ordered sets known asminuscule posets. …”
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Learning Visual Flows: A Lie Algebraic Approach by Lin, Dahua, Grimson, Eric, Fisher, John W., III

“…Second, a Lie algebraic representation of the transform process is introduced, which maps the transformation group to a vector space, and thus overcomes the difficulties due to the group structure. …”
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