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02551nam a22004215i 4500 |
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978-93-86279-41-5 |
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DE-He213 |
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20170720090631.0 |
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cr nn 008mamaa |
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170720s2009 xx | s |||| 0|eng d |
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|a 9789386279415
|9 978-93-86279-41-5
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|a 10.1007/978-93-86279-41-5
|2 doi
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|a MAT000000
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|a Lakshmibai, V.
|e author.
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|a Flag Varieties
|h [electronic resource] :
|b An Interplay of Geometry, Combinatorics, and Representation Theory /
|c by V. Lakshmibai, Justin Brown.
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|a Gurgaon :
|b Hindustan Book Agency :
|b Imprint: Hindustan Book Agency,
|c 2009.
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| 300 |
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|a 286 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Texts and Readings in Mathematics,
|x 2366-8717 ;
|v 53
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| 520 |
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|a Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory. This book is detailed account of this interplay. In the area of representation theory, the book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups; in addition, the representation theory of symmetric groups is also discussed. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Because of the connections with root systems, many of the geometric results admit elegant combinatorial description, a typical example being the description of the singular locus of a Schubert variety. This is shown to be a consequence of standard monomial theory (abbreviated SMT). Thus the book includes SMT and some important applications - singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.
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|a Mathematics.
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|a Mathematics.
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|a Mathematics, general.
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|a Brown, Justin.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9788185931920
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| 830 |
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|a Texts and Readings in Mathematics,
|x 2366-8717 ;
|v 53
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| 856 |
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|u http://dx.doi.org/10.1007/978-93-86279-41-5
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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