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Lie Algebras, Vertex Operator Algebras, and Related Topics by Katrina Barron, Elizabeth Jurisich, Antun Milas and Kailash Misra, editors is a book available to read on EtoBox.

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Cover 1 Title page 2 Contents 4 Preface 6 Generalizations of Q-systems and orthogonal polynomials from representation theory 8 1. Introduction 8 2. Calculating ̂GL2 Tau-Functions on Two-Component Fermionic Fock Space 9 3. Generalizing to ̂GL3 11 4. Connection Matrices and Zero Curvature Equations 13 5. Orthogonal Polynomials from Connection Matrices 15 References 19 Some applications and constructions of intertwining operators in Logarithmic Conformal Field Theory 22 1. Introduction 22 2. Classification of irreducible modules for orbifold \triplet^{A_{m}}: A fusion rules approach 23 3. Fusion rules for \singlet and a proof of Conjecture 2.3 for p=2. 25 4. Deformed realization of the triplet and singlet vertex algebra 28 5. Intertwining operators between typical \singlet and \triplet^{A_{m}}–modules: the p=2 case 32 Acknowledgments 33 References 33 Kac–Moody groups and automorphic forms in low dimensional supergravity theories 36 1. Introduction 36 2. Supergravity theories 37 3. Construction of Kac–Moody groups over \R and \Z 39 4. Eisenstein series in supergravity 42 5. Eisenstein series on non–affine Kac–Moody groups 43 6. Some open questions 44 References 45 The Lusztig-Macdonald

Author

Katrina Barron, Elizabeth Jurisich, Antun Milas and Kailash Misra, editors

Language

EN