Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras is popular PDF and ePub book, written by K. R. Goodearl in 2017-04-25, 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, Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras can be Read Online from any device for your convenience.
Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras Book PDF Summary
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous approaches to these problems for the construction of (quantum) cluster algebra structures on (quantized) coordinate rings arising in Lie theory were done on a case by case basis relying on the combinatorics of each concrete family. The results of the paper have a broad range of applications to these problems, including the construction of quantum cluster algebra structures on quantum unipotent groups and quantum double Bruhat cells (the Berenstein-Zelevinsky conjecture), and treat these problems from a unified perspective. All such applications also establish equality between the constructed quantum cluster algebras and their upper counterparts
Detail Book of Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras PDF
- Author : K. R. Goodearl
- Release : 25 April 2017
- Publisher : American Mathematical Soc.
- ISBN : 9781470436940
- Genre : Mathematics
- Total Page : 134 pages
- Language : English
- PDF File Size : 17,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras by K. R. Goodearl, 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.