Construction of the Bethe state for the elliptic quantum group.
Manojlovć, Nenad, Nagy, Zoltán (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Manin matrices, quantum elliptic commutative families and characteristic polynomial of elliptic Gaudin model.”
Construction of the Bethe state for the elliptic quantum group.
Dynamical matrices of elliptic quantum groups and connection matrices for the -KZ equations.
Konno, Hitoshi (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
Gleb Arutyunov (1997)
Banach Center Publications
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By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
Limits of Gaudin systems: classical and quantum cases.
Chervov, Alexander, Falqui, Gregorio, Rybnikov, Leonid (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A -analogue of the centralizer construction and skew representations of the quantum affine algebra.
Hopkins, Mark J., Molev, Alexander I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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-systems and -systems for quantum affinizations of quantum Kac-Moody algebras.
Kuniba, Atsuo, Nakanishi, Tomoki, Suzuki, Junji (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Universal Bethe ansatz and scalar products of Bethe vectors.
Belliard, Samuel, Pakuliak, Stanislav, Ragoucy, Eric (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Eigenvectors of open Bazhanov-Stroganov quantum chain.
Iorgov, Nikolai (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Asymmetric twin representation: the transfer matrix symmetry.
Doikou, Anastasia (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Differential and functional identities for the elliptic trilogarithm.
Strachan, Ian A.B. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Towards finite-gap integration of the Inozemtsev model.
Takemura, Kouichi (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations.
Kuroki, Kazunori, Nakayashiki, Atsushi (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Quantum symmetries in noncommutative C*-systems
Marcin Marciniak (1998)
Banach Center Publications
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We introduce the notion of a completely quantum C*-system (A,G,α), i.e. a C*-algebra A with an action α of a compact quantum group G. Spectral properties of completely quantum systems are investigated. In particular, it is shown that G-finite elements form the dense *-subalgebra of A. Furthermore, properties of ergodic systems are studied. We prove that there exists a unique α-invariant state ω on A. Its properties are described by a family of modular operators acting on . It turns...