# Algebras of Functions on Quantum Groups: Part I

Title | Algebras of Functions on Quantum Groups: Part I PDF eBook |

Author | Leonid I. Korogodski |

Publisher | American Mathematical Soc. |

Total Pages | 162 |

Release | 1998 |

Genre | Function algebras |

ISBN | 0821803360 |

**Download Algebras of Functions on Quantum Groups: Part I Book in PDF, Epub and Kindle**

The text is devoted to the study of algebras of functions on quantum groups. The book includes the theory of Poisson-Lie algebras (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions and the theory of quantum Weyl groups. It can serve as a text for an introduction to the theory of quantum groups and is intended for graduate students and research mathematicians working in algebra, representation theory and mathematical physics.

# Quantum Analogues: From Phase Transitions to Black Holes and Cosmology

Title | Quantum Analogues: From Phase Transitions to Black Holes and Cosmology PDF eBook |

Author | William Unruh |

Publisher | Springer |

Total Pages | 298 |

Release | 2007-04-14 |

Genre | Science |

ISBN | 3540708596 |

**Download Quantum Analogues: From Phase Transitions to Black Holes and Cosmology Book in PDF, Epub and Kindle**

Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.

# Post-Quantum Cryptography

Title | Post-Quantum Cryptography PDF eBook |

Author | Nicolas Sendrier |

Publisher | Springer |

Total Pages | 241 |

Release | 2010-06-01 |

Genre | Computers |

ISBN | 3642129293 |

**Download Post-Quantum Cryptography Book in PDF, Epub and Kindle**

This book constitutes the refereed proceedings of the Third International Workshop on Post-Quantum Cryptography, PQCrypto 2010, held in Darmstadt, Germany, in May 2010. The 16 revised full papers presented were carefully reviewed and selected from 32 submissions. The papers are organized in topical sections on cryptanalysis of multivariate systems, cryptanalysis of code-based systems, design of encryption schemes, and design of signature schemes.

# Quantum Nanochemistry, Volume Four

Title | Quantum Nanochemistry, Volume Four PDF eBook |

Author | Mihai V. Putz |

Publisher | CRC Press |

Total Pages | 686 |

Release | 2016-03-30 |

Genre | Science |

ISBN | 1498729568 |

**Download Quantum Nanochemistry, Volume Four Book in PDF, Epub and Kindle**

Volume 4 of the 5-volume Quantum Nanochemistry covers quantum (physical) chemical theory of solids and orderability and addresses the electronic order problems in the solid state viewed as a huge molecule in special quantum states, including also the bondonic treatment of the graphene nano-ribbons, along basic crystallographic principles, from geometrical-, to chemical- to physical- (x-ray) crystallography with featured examples, and energetic correlating symmetry discussion on orderability in nanochemical compounds.

# Quantum Roots

Title | Quantum Roots PDF eBook |

Author | Kyle Keyes |

Publisher | Createspace Independent Pub |

Total Pages | 262 |

Release | 2012-08-16 |

Genre | Fiction |

ISBN | 9781478392675 |

**Download Quantum Roots Book in PDF, Epub and Kindle**

Jesse Joe Jacks was born sometime during the snow blizzard of 1923. The Lower Elk County game warden died from a lightning strike on July 23, 1959. Olan Chapman came to life in August of 1974 and found a computer career with a center city, electronics firm. Jacks loved nature and lived to protect wild life. Jesse Joe was also a crack shot with a firearm - any firearm. Olan Chapman attended the theater, played piano and once led a march against the National Rifle Association Jacks fought in the Korean War and never drank anything stronger than beer. Chapman battled a war from within, and never sipped anything lighter than rum and coke. Both men had the same fingerprints, much to the chagrin of Lt General Alexis Grumman, federal director for para normal activities. QUANTUM ROOTS is based on the belief that people form from recycled energy.

# Complex Semisimple Quantum Groups and Representation Theory

Title | Complex Semisimple Quantum Groups and Representation Theory PDF eBook |

Author | Christian Voigt |

Publisher | Springer Nature |

Total Pages | 382 |

Release | 2020-09-24 |

Genre | Mathematics |

ISBN | 3030524639 |

**Download Complex Semisimple Quantum Groups and Representation Theory Book in PDF, Epub and Kindle**

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the PoincarĂ©-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.

# Quantum Groups

Title | Quantum Groups PDF eBook |

Author | Vladimir K. Dobrev |

Publisher | Walter de Gruyter GmbH & Co KG |

Total Pages | 406 |

Release | 2017-07-10 |

Genre | Science |

ISBN | 3110427788 |

**Download Quantum Groups Book in PDF, Epub and Kindle**

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies