Results 21 to 30 of about 168,020 (318)
Frobenius–Schur Indicator for Categories with Duality
Axioms, 2012 We introduce the Frobenius–Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius–Schur theorem including that for semisimple quasi-Hopf algebras, weak Hopf C*-algebras and ...
Kenichi Shimizu
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UNIVERSAL QUANTUM GROUPS [PDF]
International Journal of Mathematics, 1996 For each invertible m×m matrix Q a compact matrix quantum group Au(Q) is constructed. These quantum groups are shown to be universal in the sense that any compact matrix quantum group is a quantum subgroup of some of them. Their orthogonal version Ao(Q) is also constructed. Finally, we discuss related constructions in the literature.
Van Daele, Alfons, Wang, Shuzhou
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Measurement-based quantum computing with a spin ensemble coupled to a stripline cavity [PDF]
, 2012 Recently, a new form of quantum memory was proposed. The storage medium is an ensemble of electron spins, coupled to a stripline cavity and an ancillary readout system.
Benjamin, Simon C. +9 more
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Statistics and Quantum Group Symmetries [PDF]
, 1997 : Using ``twisted'' realizations of the symmetric groups, we show that Bose and Fermi statistics are compatible with transformations generated by compact quantum groups of Drinfel'd ...
FIORE, GAETANO, P. SCHUPP
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From quantum groups to Liouville and dilaton quantum gravity
Journal of High Energy Physics, 2022 We investigate the underlying quantum group symmetry of 2d Liouville and dilaton gravity models, both consolidating known results and extending them to the cases with N $$ \mathcal{N} $$ = 1 supersymmetry.
Yale Fan, Thomas G. Mertens
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From Quantum Automorphism of (Directed) Graphs to the Associated Multiplier Hopf Algebras
Mathematics, 2023 This is a noticeably short biography and introductory paper on multiplier Hopf algebras. It delves into questions regarding the significance of this abstract construction and the motivation behind its creation.
Farrokh Razavinia +1 more
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A characterization of quantum groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension, which are domains, whose groups of group-like elements are finitely generated and abelian, and whose infinitesimal braidings are positive.
Andruskiewitsch, Nicolás +1 more
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Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells : the finite-type cases [PDF]
, 2010 We exhibit quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells, as well as on , and . These cases are precisely those where the quantum cluster algebra is of finite type, and the structures we describe quantize ...
Launois, Stéphane +3 more
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Quantum group and quantum symmetry [PDF]
Physics Reports, 1995 This is a self-contained review on the theory of quantum group and its applications to modern physics. A brief introduction is given to the Yang-Baxter equation in integrable quantum field theory and lattice statistical physics. The quantum group is primarily introduced as a systematic method for solving the Yang-Baxter equation.
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Polyadic Hopf Algebras and Quantum Groups
East European Journal of Physics, 2021 This article continues the study of concrete algebra-like structures in our polyadic approach, where the arities of all operations are initially taken as arbitrary, but the relations between them, the arity shapes, are to be found from some natural ...
S. Duplij
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