Results 11 to 20 of about 402,561 (332)

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

REPRESENTATIONS OF REFLECTION ALGEBRAS [PDF]

open access: yesReviews in Mathematical Physics, 2002
We study a class of algebras B(n,l) associated with integrable models with boundaries. These algebras can be identified with coideal subalgebras in the Yangian for gl(n). We construct an analog of the quantum determinant and show that its coefficients generate the center of B(n,l).
Eric Ragoucy, Alexander Molev
openaire   +3 more sources

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

On Representations of Bol Algebras [PDF]

open access: yesJournal of Generalized Lie Theory and Applications, 2016
In this paper, we introduce the notion of representation of Bol algebra. We prove an analogue of the classical Engel's theorem and the ex- tension of Ado-Iwasawa theorem for Bol Algebras. We study the category of representations of Bol algebras and show that it is a tensor category.
Ndoune, N, Bouetou Bouetou, T
openaire   +5 more sources

BPS states meet generalized cohomology

open access: yesJournal 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
doaj   +1 more source

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