Deformation Theory and Quantum Groups with Applications to Mathematical Physics is popular PDF and ePub book, written by Murray Gerstenhaber in 1992, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Deformation Theory and Quantum Groups with Applications to Mathematical Physics can be Read Online from any device for your convenience.
Deformation Theory and Quantum Groups with Applications to Mathematical Physics Book PDF Summary
Quantum groups are not groups at all, but special kinds of Hopf algebras of which the most important are closely related to Lie groups and play a central role in the statistical and wave mechanics of Baxter and Yang. Those occurring physically can be studied as essentially algebraic and closely related to the deformation theory of algebras (commutative, Lie, Hopf, and so on). One of the oldest forms of algebraic quantization amounts to the study of deformations of a commutative algebra $A$ (of classical observables) to a noncommutative algebra $A_h$ (of operators) with the infinitesimal deformation given by a Poisson bracket on the original algebra $A$. This volume grew out of an AMS-IMS-SIAM Joint Summer Research Conference, held in June 1990 at the University of Massachusetts at Amherst. The conference brought together leading researchers in the several areas mentioned and in areas such as ``$q$ special functions'', which have their origins in the last century but whose relevance to modern physics has only recently been understood. Among the advances taking place during the conference was Majid's reconstruction theorem for Drinfeld's quasi-Hopf algebras. Readers will appreciate this snapshot of some of the latest developments in the mathematics of quantum groups and deformation theory.
Detail Book of Deformation Theory and Quantum Groups with Applications to Mathematical Physics PDF
- Author : Murray Gerstenhaber
- Release : 29 June 1992
- Publisher : American Mathematical Soc.
- ISBN : 9780821851418
- Genre : Mathematics
- Total Page : 377 pages
- Language : English
- PDF File Size : 11,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Deformation Theory and Quantum Groups with Applications to Mathematical Physics by Murray Gerstenhaber, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
