Crystal Bases Representations And Combinatorics is popular PDF and ePub book, written by Daniel Bump in 2017-01-17, 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, Crystal Bases Representations And Combinatorics can be Read Online from any device for your convenience.
Crystal Bases Representations And Combinatorics Book PDF Summary
This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by combinatorial means. This book approaches the subject directly from combinatorics, building crystals through local axioms (based on ideas by Stembridge) and virtual crystals. It also emphasizes parallels between the representation theory of the symmetric and general linear groups and phenomena in combinatorics. The combinatorial approach is linked to representation theory through the analysis of Demazure crystals. The relationship of crystals to tropical geometry is also explained.
Detail Book of Crystal Bases Representations And Combinatorics PDF
- Author : Daniel Bump
- Release : 17 January 2017
- Publisher : World Scientific Publishing Company
- ISBN : 9789814733465
- Genre : Mathematics
- Total Page : 292 pages
- Language : English
- PDF File Size : 18,9 Mb
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