Results 1 to 10 of about 621 (193)
Minimal non-abelian nodal braiding in ideal metamaterials [PDF]
Nature Communications, 2023 The authors constructed ideal acoustic metamaterials to realize non-abelian braiding of band nodes and provided the first compelling experimental evidence, at the wavefunction level, for the creation, collision, braiding, and repulsion of band nodes.
Huahui Qiu +5 more
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Condensation of an ideal gas obeying non-Abelian statistics [PDF]
Physical Review E, 2011 6 ...
Behrouz Mírzá, Hosein Mohammadzadeh
exaly +4 more sources
Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
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On analogs of some classical group-theoretic results in Poisson algebras
Доповiдi Нацiональної академiї наук України, 2021 We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is nilpotent (Abelian).
L.A. Kurdachenko +2 more
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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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Binary sequence/array pairs via diference set pairs: A recursive approach [PDF]
Transactions on Combinatorics, 2017 Binary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(DSPs) in abelian groups are studied. In addition to generalizing known 1-dimensional (sequences) examples,
K. T. Arasu, Anika Goyal, Abhishek Puri
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Root polytopes and Abelian ideals [PDF]
Journal of Algebraic Combinatorics, 2013 We study the root polytope $\mathcal P_Φ$ of a finite irreducible crystallographic root system $Φ$ using its relation with the abelian ideals of a Borel subalgebra of a simple Lie algebra with root system $Φ$. We determine the hyperplane arrangement corresponding to the faces of codimension 2 of $\mathcal P_Φ$ and analyze its relation with the facets ...
CELLINI, PAOLA, Mario Marietti
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Gröbner–Shirshov Bases Theory for Trialgebras
Mathematics, 2021 We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is a unique reduced Gröbner–Shirshov basis for every ideal of a free trialgebra.
Juwei Huang, Yuqun Chen
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The Bruhat order on abelian ideals of Borel subalgebras [PDF]
Transactions of the American Mathematical Society, 2020 Let G G be a quasi-simple algebraic group over an algebraically closed field
Jacopo Gandini +3 more
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Physical Review Research, 2023 It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators.
Jie Wang, Semyon Klevtsov, Zhao Liu
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