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Combinatorics of minuscule represent...

Green, R. M., (1971-)

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Combinatorics of minuscule representations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Combinatorics of minuscule representations // R.M. Green.
作者:	Green, R. M.,
出版者:	Cambridge :Cambridge University Press, : 2013.,
面頁冊數:	vii, 320 p. :ill ;24 cm.
標題:	Combinatorial analysis. -
電子資源:	http://assets.cambridge.org/97811070/26247/cover/9781107026247.jpg
ISBN:	9781107026247 (hbk.) :

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

Combinatorics of minuscule representations /R.M. Green. - Cambridge :Cambridge University Press,2013. - vii, 320 p. :ill ;24 cm. - Cambridge tracts in mathematics ;199.

Includes bibliographical references and index.

"Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights may be regarded as points in Euclidean space, and there is a finite group (called a Weyl group) that acts on the set of weights by linear transformations. The minuscule representations are those for which the Weyl group acts transitively on the weights, and the highest weight of such a representation is called a minuscule weight"--

ISBN: 9781107026247 (hbk.) :US80.00

LCCN: 2012042963Subjects--Topical Terms:

523878
Combinatorial analysis.

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

Dewey Class. No.: 512/.482

Combinatorics of minuscule representations /
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245 1 0 $a Combinatorics of minuscule representations / $c R.M. Green.
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300 $a vii, 320 p. : $b ill ; $c 24 cm.
490 1 0 $a Cambridge tracts in mathematics ; $v 199
504 $a Includes bibliographical references and index.
520 # $a "Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights may be regarded as points in Euclidean space, and there is a finite group (called a Weyl group) that acts on the set of weights by linear transformations. The minuscule representations are those for which the Weyl group acts transitively on the weights, and the highest weight of such a representation is called a minuscule weight"-- $c Provided by publisher.
650 # 0 $a Combinatorial analysis. $3 523878
650 # 0 $a Representations of Lie algebras. $3 950288
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