The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with ra...
This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical... (展开全部) 我来说两句 短评 ...
FINITE groupsUNITARY groupsQUANTUM groupsThe article is a review of the book "Introduction to Quantum Groups" by Teo Banica. The book focuses on quantum groups, which are algebraic structures that generalize the concept of groups. It explores the theory of compact quantum groups, their ...
Muller, Introduction to quantum groups, Rev. Math. Phys. 10 (1998), 511- 551.G. Lusztig, Introduction to quantum groups. Progress in Mathematics, 110. Birkh¨auser Boston, 1993. [MV] E. Mukhin, A. Varchenko, Solutions of the qKZB equation in tensor products of finite dimensional ...
Rodenas, An Introduction to quantum groups and noncommutative differential calculus , q-alg/9502003 [ SPIRES ].J. A. de Azcarraga and F. Rodenas. "An Introduction to Quantum Groups and Non- Commutative Differential Calculus". In: ed. by J. A. de Azcarraga and F. Rodenas. 1995. ar...
Closed string field theory leads to a generalization of Lie algebra which arose naturally within mathematics in the study of deformations of algebraic stru... Tom,LadaJim,Stasheff - 《International Journal of Theoretical Physics》 被引量: 837发表: 1993年 Affine Lie algebras and quantum groups. An...
This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.
Click here to see an enlarged image Figure 2. Quantum circuit forHHL algorithm. FT: Fourier Transform; U: rotation gate; H: Hadamard gate; R: rotation gate. 2. Quantum clustering algorithm for the RAN management plane K means is an unsupervised clustering algorithm that groups together n obse...
This article provides a basic introduction to some concepts of non-commutative geometry. The importance of quantum groups and quantum spaces is stressed. Canonical non-commutativity is understood as an approximation to the quantum group case. Non-commutative gauge theory and the non-commutative ...
INTRODUCTION TO DISCRETE QUANTUM GROUPS Piotr M. Sotan - 《International Journal of Mathematics》 - 2015 - 被引量: 0 Closed quantum subgroups of locally compact quantum groups Matthew Daws,Pawe? Kasprzak,Adam Skalski,... - 《Advances in Mathematics》 - 2012 - 被引量: 108 KAZHDAN'S PROPERTY...