Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1: QTS-X/LT-XII, Varna, Bulgaria, June 2017

Front Matter ....Pages i-xv
Front Matter ....Pages 1-1
 Image of Conformally Covariant, Symmetry Breaking Operators for \({\mathbb {R}}^{p,q}\)  (Toshiyuki Kobayashi, Alex Leontiev)....Pages 3-35
 Trails for Minuscule Modules and Dual Kashiwara Functions for the \(B(\infty )\) Crystal  (Anthony Joseph)....Pages 37-53
 From Euler’s Play with Infinite Series to the Anomalous Magnetic Moment  (Ivan Todorov)....Pages 55-73
 On the Derivation of the Wallis Formula for \(\pi \) in the 17th and 21st Centuries  (Tamar Friedmann)....Pages 75-89
 Variations of Infinite Derivative Modified Gravity  (Ivan Dimitrijevic, Branko Dragovich, Zoran Rakic, Jelena Stankovic)....Pages 91-111
 Infinite-Dimensional Metaconformal Symmetries: 1D Diffusion-Limited Erosion and Ballistic Transport in \((1+2)\) Dimensions  (Malte Henkel, Stoimen Stoimenov)....Pages 113-135
 Behrends–Fronsdal Spin Projection Operator in Space-Time with Arbitrary Dimension  (A. P. Isaev, M. A. Podoinitsyn)....Pages 137-148
 Wakimoto Realization of the Quantum Affine Superalgebra \(U_q(\widehat{sl}(M|N))\)  (Takeo Kojima)....Pages 149-163
 On Superdimensions of Some Infinite-Dimensional Irreducible Representations of \(\mathfrak {osp}(m|n)\)  (N. I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt)....Pages 165-176
 Non-commutativity in Unified Theories and Gravity  (G. Manolakos, G. Zoupanos)....Pages 177-205
Front Matter ....Pages 207-207
 Webs of Quantum Algebra Representations in 5d \({\mathcal {N}}=1\) Super Yang–Mills  (Jean-Emile Bourgine)....Pages 209-218
 Parallelizations for Induced Representations of \(\text {SO}_0(2,q)\)  (Patrick Moylan)....Pages 219-229
 Jordan Algebra and Hydrogen Atom   (Todor Popov)....Pages 231-244
 Screening Operators for the Lattice Vertex Operator Algebras of Type \(A_1\) at Positive Rational Level  (Takuya Matsumoto)....Pages 245-253
 Symmetries of the \(S_3\) Dirac–Dunkl Operator  (Hendrik De Bie, Roy Oste, Joris Van der Jeugt)....Pages 255-260
Front Matter ....Pages 261-261
 The Superintegrable Zernike System  (Natig M. Atakishiyev, George S. Pogosyan, Cristina Salto-Alegre, Kurt Bernardo Wolf, Alexander Yakhno)....Pages 263-273
 The Two Bosonizations of the CKP Hierarchy: Bicharacter Construction and Vacuum Expectation Values  (Iana I. Anguelova)....Pages 275-292
 Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy  (A. R. Aguirre, J. F. Gomes, A. L. Retore, N. I. Spano, A. H. Zimerman)....Pages 293-309
 Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–Volterra Chains  (Kyriakos Charalambous, Christodoulos Sophocleous)....Pages 311-318
Front Matter ....Pages 319-319
 Probing Anderson Localization Using the Dynamics of a Qubit  (Hichem Eleuch, Michael Hilke, Richard MacKenzie)....Pages 321-329
 Pure Spinors, Impure Spinors and Quantum Mechanics  (Mike Hewitt)....Pages 331-335
 Higher-Derivative Oscillators in \(AdS_5\times S^5\) T-Dual Penrose Limits  (H. Dimov, S. Mladenov, R. Rashkov, T. Vetsov)....Pages 337-344
Front Matter ....Pages 345-345
 A Unified Approach to Poisson–Hopf Deformations of Lie–Hamilton Systems Based on \(\mathfrak {sl}\)(2)  (Ángel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernández-Saiz, Francisco J. Herranz, Javier de Lucas)....Pages 347-366
 Two-Parameter Quantum General Linear Supergroups  (Huafeng Zhang)....Pages 367-376
 Noncommutative Geometry and An Index Theory of Infinite-Dimensional Manifolds  (Doman Takata)....Pages 377-381
Front Matter ....Pages 383-383
 A Stable Version of Terao Conjecture  (Cristian Anghel)....Pages 385-391
 Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities  (J. F. Colombeau, J. Aragona, P. Catuogno, S. O. Juriaans, C. Olivera)....Pages 393-401
 About Markov, Gibbs, ... Gauge Theory ... Finance  (Alexander Ganchev)....Pages 403-412
 A Method for Classifying Filiform Lie Superalgebras  (Rosa M. Navarro, José M. Sánchez)....Pages 413-420
 Equivalence of Vector Field Realizations of Lie Algebras from the Lie Group Point of View  (Maryna Nesterenko, Severin Pošta)....Pages 421-427