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Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics [Kõva köide]

(University of Alberta)
  • Formaat: Hardback, 492 pages, kõrgus x laius x paksus: 254x178x27 mm, kaal: 1162 g, Worked examples or Exercises
  • Sari: Cambridge Monographs on Mathematical Physics
  • Ilmumisaeg: 27-Jul-2023
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1009401580
  • ISBN-13: 9781009401586
Teised raamatud teemal:
  • Formaat: Hardback, 492 pages, kõrgus x laius x paksus: 254x178x27 mm, kaal: 1162 g, Worked examples or Exercises
  • Sari: Cambridge Monographs on Mathematical Physics
  • Ilmumisaeg: 27-Jul-2023
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1009401580
  • ISBN-13: 9781009401586
Teised raamatud teemal:
This book describes the general theory of Moonshine and its underlying concepts. It is ideal for graduate students and researchers in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. This 2006 title has been reissued as an Open Access publication on Cambridge Core.

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 more than 100 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. Originally published in 2006, this title has been reissued as an Open Access publication on Cambridge Core.

Muu info

Describes the general theory of Moonshine and its underlying concepts for graduate students and researchers; now reissued as Open Access.
Acknowledgements; Introduction: glimpses of the theory beneath Monstrous moonshine;
1. Classical algebra;
2. Modular stuff;
3. Gold and brass: affine algebras and generalisations;
4. Conformal field theory: The physics of Moonshine;
5. Vertex operator algebras;
6. Modular group representations throughout the realm;
7. Monstrous Moonshine; Epilogue; Notation; References; Index.