Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1

Table of Contents

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   Book Overview
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   Chapter 1 Image of Conformally Covariant, Symmetry Breaking Operators for $${\mathbb {R}}^{p,q}$$
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   Chapter 2 Trails for Minuscule Modules and Dual Kashiwara Functions for the $$B(\infty )$$ Crystal
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   Chapter 3 From Euler’s Play with Infinite Series to the Anomalous Magnetic Moment
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   Chapter 4 On the Derivation of the Wallis Formula for $$\pi $$ in the 17th and 21st Centuries
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   Chapter 5 Variations of Infinite Derivative Modified Gravity
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   Chapter 6 Infinite-Dimensional Metaconformal Symmetries: 1 D Diffusion-Limited Erosion and Ballistic Transport in $$(1+2)$$ Dimensions
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   Chapter 7 Behrends–Fronsdal Spin Projection Operator in Space-Time with Arbitrary Dimension
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   Chapter 8 Wakimoto Realization of the Quantum Affine Superalgebra $$U_q(\widehat{sl}(M|N))$$
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    Chapter 9 On Superdimensions of Some Infinite-Dimensional Irreducible Representations of $$\mathfrak {osp}(m|n)$$
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    Chapter 10 Non-commutativity in Unified Theories and Gravity
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    Chapter 11 Webs of Quantum Algebra Representations in 5d $${\mathcal {N}}=1$$ Super Yang–Mills
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    Chapter 12 Parallelizations for Induced Representations of $$\text {SO}_0(2,q)$$
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    Chapter 13 Jordan Algebra and Hydrogen Atom
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    Chapter 14 Screening Operators for the Lattice Vertex Operator Algebras of Type $$A_1$$ at Positive Rational Level
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    Chapter 15 Symmetries of the $$S_3$$ Dirac–Dunkl Operator
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    Chapter 16 The Superintegrable Zernike System
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    Chapter 17 The Two Bosonizations of the CKP Hierarchy: Bicharacter Construction and Vacuum Expectation Values
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    Chapter 18 Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
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    Chapter 19 Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–Volterra Chains
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    Chapter 20 Probing Anderson Localization Using the Dynamics of a Qubit
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    Chapter 21 Pure Spinors, Impure Spinors and Quantum Mechanics
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    Chapter 22 Higher-Derivative Oscillators in $$AdS_5\times S^5$$ T-Dual Penrose Limits
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    Chapter 23 A Unified Approach to Poisson–Hopf Deformations of Lie–Hamilton Systems Based on $$\mathfrak {sl}$$ (2)
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    Chapter 24 Two-Parameter Quantum General Linear Supergroups
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    Chapter 25 Noncommutative Geometry and An Index Theory of Infinite-Dimensional Manifolds
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    Chapter 26 A Stable Version of Terao Conjecture
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    Chapter 27 Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities
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    Chapter 28 About Markov, Gibbs, ... Gauge Theory ... Finance
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    Chapter 29 A Method for Classifying Filiform Lie Superalgebras
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    Chapter 30 Equivalence of Vector Field Realizations of Lie Algebras from the Lie Group Point of View