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Moonshine beyond the Monster
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  • Cited by 30
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Marathe, Kishore 2018. From Moonshine to Mock Moonshine. Vietnam Journal of Mathematics,

    Shabat, George 2018. 2016 MATRIX Annals. Vol. 1, Issue. , p. 305.

    Lentner, Simon Mierach, Svea Nora Schweigert, Christoph and Sommerhäuser, Yorck 2018. Hochschild cohomology and the modular group. Journal of Algebra, Vol. 507, Issue. , p. 400.

    Das, Diptarka Datta, Shouvik and Pal, Sridip 2017. Monstrous entanglement. Journal of High Energy Physics, Vol. 2017, Issue. 10,

    Bringmann, Kathrin Kane, Ben Löbrich, Steffen Ono, Ken and Rolen, Larry 2017. Number theoretic generalization of the monster denominator formula. Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue. 47, p. 473001.

    Luo, Zhu-Xi and Sun, Hao-Yu 2017. Topological entanglement entropy in Euclidean AdS3 via surgery. Journal of High Energy Physics, Vol. 2017, Issue. 12,

    Matsusaka, Toshiki 2017. The Fourier coefficients of the McKay–Thompson series and the traces of CM values. Research in Number Theory, Vol. 3, Issue. 1,

    Carpi, Sebastiano and Hillier, Robin 2017. Loop groups and noncommutative geometry. Reviews in Mathematical Physics, Vol. 29, Issue. 09, p. 1750029.

    Dechant, Pierre-Philippe 2017. Clifford Algebra is the Natural Framework for Root Systems and Coxeter Groups. Group Theory: Coxeter, Conformal and Modular Groups. Advances in Applied Clifford Algebras, Vol. 27, Issue. 1, p. 17.

    Sebbar, Ahmed 2016. Finite and Infinite Order Differential Relations for Theta Functions. Milan Journal of Mathematics, Vol. 84, Issue. 2, p. 317.

    Jorgenson, Jay Smajlović, Lejla and Then, Holger 2016. Kronecker’s Limit Formula, Holomorphic Modular Functions, and q-Expansions on Certain Arithmetic Groups. Experimental Mathematics, Vol. 25, Issue. 3, p. 295.

    Jorgenson, Jay Smajlović, Lejla and Then, Holger 2016. Certain aspects of holomorphic function theory on some genus-zero arithmetic groups. LMS Journal of Computation and Mathematics, Vol. 19, Issue. 02, p. 360.

    He, Yang-Hui Jejjala, Vishnu and Minic, Djordje 2016. From Veneziano to Riemann: A string theory statement of the Riemann hypothesis. International Journal of Modern Physics A, Vol. 31, Issue. 36, p. 1650201.

    Kawahigashi, Yasuyuki 2015. Conformal field theory, tensor categories and operator algebras. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue. 30, p. 303001.

    Duncan, John F. R. Griffin, Michael J. and Ono, Ken 2015. Proof of the umbral moonshine conjecture. Research in the Mathematical Sciences, Vol. 2, Issue. 1,

    Cheng, Miranda C N Dong, Xi Duncan, John F R Harrison, Sarah Kachru, Shamit and Wrase, Timm 2015. Mock modular Mathieu moonshine modules. Research in the Mathematical Sciences, Vol. 2, Issue. 1,

    Bakalov, Bojko and Elsinger, Jason 2015. Orbifolds of lattice vertex algebras under an isometry of order two. Journal of Algebra, Vol. 441, Issue. , p. 57.

    Dong, Chongying Lin, Xingjun and Ng, Siu-Hung 2015. Congruence property in conformal field theory. Algebra & Number Theory, Vol. 9, Issue. 9, p. 2121.

    2015. Commutation Relations, Normal Ordering, and Stirling Numbers. p. 419.

    Cheng, Miranda C. N. and Harrison, Sarah 2015. Umbral Moonshine and K3 Surfaces. Communications in Mathematical Physics, Vol. 339, Issue. 1, p. 221.


Book description

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.


Review of the hardback:'Gannon wants to explain to us 'what is really going on'. His book is like a conversation at the blackboard, with ideas being explained in informal terms, proofs being sketched, and unknowns being explored. Given the complexity and breadth of this material, this is exactly the right approach. … The result is informal, inviting, and fascinating.'

Source: MAA Reviews

Review of the hardback:'I personally feel that one-volume introductions to subjects of major mathematical interest and importance are invaluable, as collecting information from a variety of scattered sources and arranging it in an accessible way is a great service to those new to the field. This book does this very successfully and is a helpful contribution to the literature.'

Source: Mathematics Today

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