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

Combinatorics of minuscule represent...

Green, R. M., (1971-)

FindBook

Google Book

Amazon

博客來

Combinatorics of minuscule representations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Combinatorics of minuscule representations/ R.M. Green, University of Colorado, Denver.
作者:	Green, R. M.,
出版者:	Cambridge :Cambridge University Press, : 2013.,
面頁冊數:	vii, 320 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Classical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures.
標題:	Representations of Lie algebras. -
電子資源:	https://doi.org/10.1017/CBO9781139207003
ISBN:	9781139207003

Combinatorics of minuscule representations
Green, R. M.,1971-

Combinatorics of minuscule representations[electronic resource] /R.M. Green, University of Colorado, Denver. - Cambridge :Cambridge University Press,2013. - vii, 320 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;199. - Cambridge tracts in mathematics ;199..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Classical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures.

Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical purposes can be thought of as certain labelled partially ordered sets. This leads to uniform constructions of (most) simple Lie algebras over the complex numbers and their associated Weyl groups, and provides a common framework for various applications. The topics studied include Chevalley bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a background in linear and abstract algebra and topology. Each chapter concludes with historical notes, references to the literature and suggestions for further reading.

ISBN: 9781139207003Subjects--Topical Terms:

950288
Representations of Lie algebras.

LC Class. No.: QA252.3 / .G74 2013

Dewey Class. No.: 512.482

Combinatorics of minuscule representations
LDR:02199nmm a2200277 a 4500 001 2227185
003 UkCbUP
005 20151005020621.0
006 m d
007 cr nn 008maaau
008 210414s2013 enk o 1 0 eng d
020 $a 9781139207003 $q (electronic bk.)
020 $a 9781107026247 $q (hardback)
035 $a CR9781139207003
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA252.3 $b .G74 2013
082 0 4 $a 512.482 $2 23
090 $a QA252.3 $b .G795 2013
100 1 $a Green, R. M., $d 1971- $3 2010672
245 1 0 $a Combinatorics of minuscule representations $h [electronic resource] / $c R.M. Green, University of Colorado, Denver.
260 $a Cambridge : $b Cambridge University Press, $c 2013.
300 $a vii, 320 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 199
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Classical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures.
520 $a Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical purposes can be thought of as certain labelled partially ordered sets. This leads to uniform constructions of (most) simple Lie algebras over the complex numbers and their associated Weyl groups, and provides a common framework for various applications. The topics studied include Chevalley bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a background in linear and abstract algebra and topology. Each chapter concludes with historical notes, references to the literature and suggestions for further reading.
650 0 $a Representations of Lie algebras. $3 950288
650 0 $a Combinatorial analysis. $3 523878
830 0 $a Cambridge tracts in mathematics ; $v 199. $3 3470473
856 4 0 $u https://doi.org/10.1017/CBO9781139207003