Results 11 to 20 of about 2,227,858 (357)
Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups [PDF]
, 2013 The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion ...
Guedes, Carlos +2 more
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Tensor-tensor algebra for optimal representation and compression of multiway data
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Many real-world data are inherently multidimensional; however, often data are processed as two-dimensional arrays (matrices), even if the data are naturally represented in higher dimension. The common practice of matricizing high-dimensional
M. Kilmer +3 more
semanticscholar +1 more source
REPRESENTATIONS OF REFLECTION ALGEBRAS [PDF]
Reviews 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
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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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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic 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
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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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Quantum scars as embeddings of weakly broken Lie algebra representations [PDF]
Physical review B, 2020 Recently, much effort has focused on understanding weak ergodicity breaking in many-body quantum systems that could lead to wavefunction revivals in their dynamics far from equilibrium.
Kieran Bull +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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Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory [PDF]
, 2007 The transfer matrix of the XXZ open spin-½ chain with general integrable boundary conditions and generic anisotropy parameter (q is not a root of unity and |q| = 1) is diagonalized using the representation theory of the q-Onsager algebra.
P. Baseilhac, K. Koizumi
semanticscholar +1 more source