Results 11 to 20 of about 1,238,512 (45)
Quantum Algebras and Integrable Boundaries in AdS/CFT [PDF]
, 2012 This thesis studies quantum integrable structures such as Yangians and quantum affine algebras that arise in and are inspired by the AdS/CFT duality, with a primary emphasis on the exploration of integrable boundaries deeply hidden in the duality.
Regelskis, Vidas
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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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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
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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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Primitive ideals and automorphisms of quantum matrices. [PDF]
, 2007 Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H. +3 more
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The composition algebra of a cyclic quiver [PDF]
, 1993 Ringel CM. The composition algebra of a cyclic quiver. Proceedings of the London Mathematical Society : Ser. 3.
Ringel, Claus Michael
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Quantum stochastic convolution cocycles II [PDF]
, 2008 Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
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Topos-Theoretic Approaches to Quantum Theory [PDF]
, 2012 Starting from a naive investigation into the nature of experiments on a physical system one can argue that states of the system should pair non-degenerately with physical observables. This duality is closely related to that between space and quantity, or,
Vákár, Matthijs, Matthijs Vakar
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Algebraic Quantum Field Theory [PDF]
, 2006 Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras,
Halvorson, Hans, Mueger, Michael
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Spin Representations of the q-Poincare Algebra [PDF]
, 2001 In der Quantenmechanik können freie Elementarteilchen durch irreduzible Darstellungen der Poincare-Algebra beschrieben werden. Im Rahmen der Darstellungtheorie der q-deformierten Poincaré-Algebra untersucht diese Arbeit den Spin von Teilchen auf einer ...
Blohmann, Christian
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