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Induced 3-Lie algebras, superalgebras and induced representations; pp. 116–133 [PDF]
Proceedings 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
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Buildings, 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
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Carrollian conformal scalar as flat-space singleton
Physics 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
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Algebra with ternary cyclic relations, representations and quark model [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 We propose a unital associative algebra, motivated by a generalization of the Pauliâs 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
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Towards higher-spin holography in flat space
Journal 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
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MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS
Barekeng, 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
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Hecke group algebras as degenerate affine Hecke algebras [PDF]
Discrete 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
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q-deformation of corner vertex operator algebras by Miura transformation
Journal 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
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BPS states meet generalized cohomology
Journal of High Energy Physics, 2023 In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast ...
Dmitry Galakhov
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The model method: Crown jewel in Singapore mathematics
Asian Journal for Mathematics Education, 2022 The model method is synonymous with Singapore Mathematics. The spiral structure of the mathematics curriculum, with its focus on problem solving, and the concrete-pictorial-abstract approach to teaching, supports the use of the model method to solve ...
Swee Fong Ng
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