Show indexed articles as search result.

Publisher’s description: This book is the first volume of proceedings from the joint conference X International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), held on 19–25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.
The articles of this volume will be reviewed individually. For Volume 2 see [Zbl 1403.81002].
Indexed articles:
Kobayashi, Toshiyuki; Leontiev, Alex, Image of conformally covariant, symmetry breaking operators for \(\mathbb R^{p,q}\), 3-35 [Zbl 1409.22010]
Joseph, Anthony, Trails for minuscule modules and dual Kashiwara functions for the \(B(\infty)\) crystal, 37-53 [Zbl 1409.17012]
Todorov, Ivan, From Euler’s play with infinite series to the anomalous magnetic moment, 55-73 [Zbl 1409.81171]
Friedmann, Tamar, On the derivation of the Wallis formula for \(\pi \) in the 17th and 21st centuries, 75-89 [Zbl 1409.81181]
Dimitrijevic, Ivan; Dragovich, Branko; Rakic, Zoran; Stankovic, Jelena, Variations of infinite derivative modified gravity, 91-111 [Zbl 1409.83144]
Henkel, Malte; Stoimenov, Stoimen, Infinite-dimensional metaconformal symmetries: 1\(D\) diffusion-limited erosion and ballistic transport in \((1+2)\) dimensions, 113-135 [Zbl 1414.82022]
Isaev, A. P.; Podoinitsyn, M. A., Behrends-Fronsdal spin projection operator in space-time with arbitrary dimension, 137-148 [Zbl 1409.81059]
Kojima, Takeo, Wakimoto realization of the quantum affine superalgebra \(U_q(\widehat{sl}(M|N))\), 149-163 [Zbl 1409.81065]
Stoilova, N. I.; Thierry-Mieg, J.; Van der Jeugt, J., On superdimensions of some infinite-dimensional irreducible representations of \({\mathfrak{osp}}(m|n)\), 165-176 [Zbl 1409.83213]
Manolakos, G.; Zoupanos, G., Non-commutativity in unified theories and gravity, 177-205 [Zbl 1414.81271]
Bourgine, Jean-Emile, Webs of quantum algebra representations in 5d \({\mathcal N}=1\) super Yang-Mills, 209-218 [Zbl 1409.81063]
Moylan, Patrick, Parallelizations for induced representations of SO\(_0(2,q)\), 219-229 [Zbl 1409.22019]
Popov, Todor, Jordan algebra and hydrogen atom, 231-244 [Zbl 1409.81183]
Matsumoto, Takuya, Screening operators for the lattice vertex operator algebras of type \(A_1\) at positive rational level, 245-253 [Zbl 1409.81128]
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris, Symmetries of the \(S_3\) Dirac-Dunkl operator, 255-260 [Zbl 1409.22018]
Atakishiyev, Natig M.; Pogosyan, George S.; Salto-Alegre, Cristina; Wolf, Kurt Bernardo; Yakhno, Alexander, The superintegrable Zernike system, 263-273 [Zbl 1409.81055]
Anguelova, Iana I., The two bosonizations of the CKP hierarchy: bicharacter construction and vacuum expectation values, 275-292 [Zbl 1409.37066]
Aguirre, A. R.; Gomes, J. F.; Retore, A. L.; Spano, N. I.; Zimerman, A. H., Recursion operator and Bäcklund transformation for super mkdv hierarchy, 293-309 [Zbl 1409.37065]
Charalambous, Kyriakos; Sophocleous, Christodoulos, Lie symmetry analysis of a third-order equation arising from a general class of Lotka-Volterra chains, 311-318 [Zbl 1409.35055]
Eleuch, Hichem; Hilke, Michael; MacKenzie, Richard, Probing Anderson localization using the dynamics of a qubit, 321-329 [Zbl 1409.82005]
Hewitt, Mike, Pure spinors, impure spinors and quantum mechanics, 331-335 [Zbl 1409.81186]
Dimov, H.; Mladenov, S.; Rashkov, R.; Vetsov, T., Higher-derivative oscillators in \(AdS_5\times S^5\) T-dual Penrose limits, 337-344 [Zbl 1409.81095]
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier, A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on \({\mathfrak{sl}}(2)\), 347-366 [Zbl 1409.81062]
Zhang, Huafeng, Two-parameter quantum general linear supergroups, 367-376 [Zbl 1409.81066]
Takata, Doman, Noncommutative geometry and an index theory of infinite-dimensional manifolds, 377-381 [Zbl 1409.14007]
Anghel, Cristian, A stable version of terao conjecture, 385-391 [Zbl 1409.14075]
Colombeau, J. F.; Aragona, J.; Catuogno, P.; Juriaans, S. O.; Olivera, C., Multiplication of distributions and nonperturbative calculations of transition probabilities, 393-401 [Zbl 1409.81081]
Ganchev, Alexander, About Markov, Gibbs, …gauge theory …finance, 403-412 [Zbl 1409.91282]
Navarro, Rosa M.; Sánchez, José M., A method for classifying filiform Lie superalgebras, 413-420 [Zbl 1409.17005]
Nesterenko, Maryna; Pošta, Severin, Equivalence of vector field realizations of Lie algebras from the Lie group point of view, 421-427 [Zbl 1409.22006]