Representations and cohomologies of modified λ-differential Hom-Lie algebras by Yunpeng Xiao, Wen Teng

Subjects: “…hom-lie algebras…”
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On Symmetry Properties of Frobenius Manifolds and Related Lie-Algebraic Structures by Anatolij K. Prykarpatski, Alexander A. Balinsky

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Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment by Sajida Kousar, Sidra Arshad, Nasreen Kausar, Tzung-Pei Hong

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Lie algebra actions on module categories for truncated shifted yangians by Joel Kamnitzer, Ben Webster, Alex Weekes, Oded Yacobi

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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields by Roberto Ferreiro Pérez, Jaime Muñoz Masqué

“…The corresponding cohomological obstruction is computed and shown to coincide with a nontrivial Lie algebra cohomology class on H^2(X(S^1)).…”
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Fluxbrane Polynomials and Melvin-like Solutions for Simple Lie Algebras by Sergey V. Bolokhov, Vladimir D. Ivashchuk

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Lie-algebraic classification of effective theories with enhanced soft limits by Mark P. Bogers, Tomáš Brauner

“…For noncompact symmetry groups such as the ISO(n) group featured by some multi-Galileon theories, these NG bosons then necessarily belong to an Abelian normal subgroup. The Lie-algebraic consistency constraints admit two infinite classes of solutions, generalizing the known multi-Galileon and multi-flavor DBI theories.…”
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S-Embedding of Lie Superalgebras and Its Implications for Fuzzy Lie Algebras by Abdullah Assiry, Sabeur Mansour, Amir Baklouti

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A Lie algebra approach to susceptible-infected-susceptible epidemics by Yilun Shang

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Co-invariants of Lie algebras of vector fields on algebraic varieties by Etingof, Pavel I, Schedler, Travis

“…We prove that the space of coinvariants of functions on an affine variety by a Lie algebra of vector fields whose flow generates finitely many leaves is finite-dimensional. …”
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Z/m-graded Lie algebras and perverse sheaves, II by Lusztig, George, Yun, Zhiwei

“…We consider a fixed block for the equivariant perverse sheaves with nilpotent support on the 1-graded component of a semisimple cyclically graded Lie algebra. We give a combinatorial parametrization of the simple objects in that block.…”
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Z/m-graded Lie algebras and perverse sheaves, I by Lusztig, George, Yun, Zhiwei

“…We give a block decomposition of the equivariant derived category arising from a cyclically graded Lie algebra. This generalizes certain aspects of the generalized Springer correspondence to the graded setting.…”
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A Tannakian Interpretation of the Elliptic Infinitesimal Braid Lie Algebras by Enriquez, Benjamin, Etingof, Pavel I

“…The pro-unipotent completion of the pure braid group of n points on a genus 1 surface has been shown to be isomorphic to an explicit pro-unipotent group with graded Lie algebra using two types of tools: (a) minimal models (Bezrukavnikov), (b) the choice of a complex structure on the genus 1 surface, making it into an elliptic curve E, and an appropriate flat connection on the configuration space of n points in E (joint work of the authors with D. …”
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Z/m-graded Lie algebras and perverse sheaves, IV by Lusztig, George, Yun, Zhiwei

“…Let G be a reductive group over C. Assume that the Lie algebra g of G has a given grading (gj ) indexed by a cyclic group Z/m such that g0 contains a Cartan subalgebra of g. …”
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The Banach-Lie algebra of multiplication operators on a JBW*-triple by Altwaijry, N, Edwards, C

“…The Banach-Lie algebra L (A) of multiplication operators on the JB*-triple A is introduced and it is shown that the hermitian part L (A)h of L (A) is a unital GM-space the base of the dual cone in the dual GL-space (L (A)h)* of which is affine isomorphic and weak*-homeomorphic to the state space of L (A). …”

Flux Hamiltonians, Lie algebras, and root lattices with minuscule decorations by Shankar, R, Burnell, F, Sondhi, S

Krull dimension of affinoid enveloping algebras of semisimple Lie algebras by Ardakov, K, Grojnowski, I

“… <p style="text-align:justify;"> Using Beilinson–Bernstein localisation, we give another proof of Levasseur's theorem on the Krull dimension of the enveloping algebra of a complex semisimple Lie algebra. The proof also extends to the case of affinoid enveloping algebras. …”

Symplectic Dirac operators for Lie algebras and graded Hecke algebras by Ciubotaru, D, De Martino, M, Meyer, P

“…We work in the settings of ℤ/2-graded quadratic Lie algebras 𝔤 = 𝔨 + 𝔭 and of graded affine Hecke algebras ℍ. …”

Rigidity of some classes of Lie algebras in connection to Leibniz algebras by Abdulkareem, Abdulafeez Olalekan, Rakhimov, Isamiddin Sattarovich, Said Husain, Sharifah Kartini

“…We deal with Leibniz algebras which are generalizations of Lie algebras. In Lie algebras case, there are different kind of rigidities (rigidity, absolutely rigidity, geometric rigidity, e.t.c.). …”
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On a construction of Helgason and a theorem of Kostant. by Cooper, Allan, 1949-

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