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Minimal unitary representation of 5d superconformal algebra F(4) and AdS6/CFT5 higher spin (super)-algebras

open access: diamondNuclear Physics B, 2015
We study the minimal unitary representation (minrep) of SO(5,2), obtained by quantization of its geometric quasiconformal action, its deformations and supersymmetric extensions.
Sudarshan Fernando, Murat Günaydin
doaj   +2 more sources

Induced 3-Lie algebras, superalgebras and induced representations; pp. 116–133 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2020
We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra ...
Priit Lätt, Viktor Abramov
doaj   +1 more source

Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures

open access: yesBuildings, 2023
An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other ...
Sascha Stüttgen   +5 more
doaj   +1 more source

Carrollian conformal scalar as flat-space singleton

open access: yesPhysics Letters B, 2023
We show that, in any space-time dimension, the on-shell (electric) conformal Carrollian scalar can be interpreted as the flat-space limit of the singleton representation of the conformal algebra.
Xavier Bekaert   +2 more
doaj   +1 more source

Algebra with ternary cyclic relations, representations and quark model [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2023
We propose a unital associative algebra, motivated by a generalization of the Pauli’s exclusion principle proposed for the quark model. The generators of this algebra satisfy the following relations: The sum of squares of all generators is equal to ...
Viktor Abramov   +2 more
doaj   +1 more source

Towards higher-spin holography in flat space

open access: yesJournal of High Energy Physics, 2023
We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space. We find that it can be constructed as the universal enveloping algebra of a certain chiral deformation of
Dmitry Ponomarev
doaj   +1 more source

The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

open access: yesElectronic Research Archive, 2022
The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu   +2 more
doaj   +1 more source

MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS

open access: yesBarekeng, 2021
Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu   +2 more
doaj   +1 more source

Hecke group algebras as degenerate affine Hecke algebras [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
The Hecke group algebra $\operatorname{H} \mathring{W}$ of a finite Coxeter group $\mathring{W}$, as introduced by the first and last author, is obtained from $\mathring{W}$ by gluing appropriately its $0$-Hecke algebra and its group algebra.
Florent Hivert   +2 more
doaj   +1 more source

q-deformation of corner vertex operator algebras by Miura transformation

open access: yesJournal of High Energy Physics, 2021
Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra).
Koichi Harada   +3 more
doaj   +1 more source

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