Results 21 to 30 of about 1,414,924 (189)
Characterization of Directed Graphs Representing C*-Algebra of Complex Matrices [PDF]
E3S Web of ConferencesQuantum mechanics is a study that plays a major role in determining the biological intelligence of Artificial Intelligence (AI). Point particle systems in quantum mechanics can be explained using C*-Algebra which is called CAR-algebra. There is a special
Hidayat Wahyu, Herlinawati Elin
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Quantum twist-deformed D = 4 phase spaces with spin sector and Hopf algebroid structures
Physics Letters B, 2019 We consider the generalized (10+10)-dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of twist-quantized Poincare Hopf algebra H and quantum Poincare Hopf group Gˆ.
Jerzy Lukierski +2 more
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Quantun function algebras as quantum enveloping algebras [PDF]
Communications in Algebra, 1998 Inspired by a result in [Ga], we locate two $ k[q,q^{-1}] $-integer forms of $ F_q[SL(n+1)] $, along with a presentation by generators and relations, and prove that for $ q=1 $ they specialize to $ U({\mathfrak{h}}) $, where $ {\mathfrak{h}} $ is the Lie bialgebra of the Poisson Lie group $ H $ dual of $ SL(n+1) $; moreover, we explain the relation ...
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On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras [PDF]
Journal of Mathematics, 2021 This paper aims to make a combination between the quantum B-algebras (briefly, X - A s) and two interesting theories (e.g., soft set theory and fuzzy soft set theory).
Xiongwei Zhang +2 more
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Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
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Quantum vertex algebras and quantum affine algebras [PDF]
SCIENTIA SINICA Mathematica, 2017 In the general theory of vertex algebras, a basic open problem has been to develop a suitable theory of quantum vertex algebras so that quantum vertex algebras can be naturally associated to quantum affine algebras. Partially motivated by Etingof and Kazhdans theory of quantum vertex operator algebras, since 2005 we have systematically developed and ...
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New quantum toroidal algebras from 5D N $$ \mathcal{N} $$ = 1 instantons on orbifolds
Journal of High Energy Physics, 2020 Quantum toroidal algebras are obtained from quantum affine algebras by a further affinization, and, like the latter, can be used to construct integrable systems.
Jean-Emile Bourgine, Saebyeok Jeong
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C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups [PDF]
International Journal of Mathematics, 1997 We associate to an algebraic quantum group a C*-algebraic quantum group and show that this C*-algebraic quantum group essentially satisfies an upcoming definition of Masuda, Nakagami and Woronowicz.
Kustermans, J., Van Daele, A.
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Quantum stochastic convolution cocycles III [PDF]
, 2012 The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G., Lindsay, J. Martin
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Universe, 2022 This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing geometrical and analytical properties of quantum and ...
Anatolij K. Prykarpatski
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