東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Lecture Notes on Cluster Algebras

Marsh, Robert J.,

FindBook

Google Book

Amazon

博客來

Lecture Notes on Cluster Algebras

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lecture Notes on Cluster Algebras/ Robert J. Marsh
作者:	Marsh, Robert J.,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2014,
面頁冊數:	1 online resource (121 pages)
標題:	Groups & group theory -
電子資源:	https://doi.org/10.4171/130
電子資源:	https://www.ems-ph.org/img/books/marsh_mini.jpg
ISBN:	9783037196304

Lecture Notes on Cluster Algebras
Marsh, Robert J.,

Lecture Notes on Cluster Algebras[electronic resource] /Robert J. Marsh - Zuerich, Switzerland :European Mathematical Society Publishing House,2014 - 1 online resource (121 pages) - Zurich Lectures in Advanced Mathematics (ZLAM).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Cluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual canonical basis of a quantized enveloping algebra and totally positive matrices. The aim of these notes is to give an introduction to cluster algebras which is accessible to graduate students or researchers interested in learning more about the field, while giving a taste of the wide connections between cluster algebras and other areas of mathematics. The approach taken emphasizes combinatorial and geometric aspects of cluster algebras. Cluster algebras of finite type are classified by the Dynkin diagrams, so a short introduction to reflection groups is given in order to describe this and the corresponding generalized associahedra. A discussion of cluster algebra periodicity, which has a close relationship with discrete integrable systems, is included. The book ends with a description of the cluster algebras of finite mutation type and the cluster structure of the homogeneous coordinate ring of the Grassmannian, both of which have a beautiful description in terms of combinatorial geometry.

ISBN: 9783037196304

Standard No.: 10.4171/130doiSubjects--Topical Terms:

3480852
Groups & group theory

Lecture Notes on Cluster Algebras
LDR:02165nmm a22003015a 4500 001 2233254
003 CH-001817-3
005 20140124234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20140118sz fot ||| 0|eng d
020 $a 9783037196304
024 7 0 $a 10.4171/130 $2 doi
035 $a 172-140124
040 $a ch0018173
072 7 $a PBFD $2 bicssc
084 $a 13-xx $a 05-xx $a 14-xx $a 17-xx $2 msc
100 1 $a Marsh, Robert J., $e author. $3 3481060
245 1 0 $a Lecture Notes on Cluster Algebras $h [electronic resource] / $c Robert J. Marsh
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2014
300 $a 1 online resource (121 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a Zurich Lectures in Advanced Mathematics (ZLAM)
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Cluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual canonical basis of a quantized enveloping algebra and totally positive matrices. The aim of these notes is to give an introduction to cluster algebras which is accessible to graduate students or researchers interested in learning more about the field, while giving a taste of the wide connections between cluster algebras and other areas of mathematics. The approach taken emphasizes combinatorial and geometric aspects of cluster algebras. Cluster algebras of finite type are classified by the Dynkin diagrams, so a short introduction to reflection groups is given in order to describe this and the corresponding generalized associahedra. A discussion of cluster algebra periodicity, which has a close relationship with discrete integrable systems, is included. The book ends with a description of the cluster algebras of finite mutation type and the cluster structure of the homogeneous coordinate ring of the Grassmannian, both of which have a beautiful description in terms of combinatorial geometry.
650 0 7 $a Groups & group theory $2 bicssc $3 3480852
650 0 7 $a Commutative rings and algebras $2 msc $3 3480799
650 0 7 $a Combinatorics $2 msc $3 3480913
650 0 7 $a Algebraic geometry $2 bicssc $3 3480846
650 0 7 $a Nonassociative rings and algebras $2 msc $3 3480823
856 4 0 $u https://doi.org/10.4171/130
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/marsh_mini.jpg