Coverart for item
The Resource Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown

Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown

Label
Flag varieties : an interplay of geometry, combinatorics, and representation theory
Title
Flag varieties
Title remainder
an interplay of geometry, combinatorics, and representation theory
Statement of responsibility
V. Lakshmibai, Justin Brown
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Lakshmibai, V.
Dewey number
516.353
Index
index present
LC call number
QA564
LC item number
.L247 2009eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Brown, Justin
Series statement
Texts and readings in mathematics
Series volume
53
http://library.link/vocab/subjectName
  • Geometry, Algebraic
  • Flag manifolds
  • Representations of groups
  • Semisimple Lie groups
  • Schubert varieties
  • Flag manifolds
  • Geometry, Algebraic
  • Representations of groups
  • Schubert varieties
  • Semisimple Lie groups
Label
Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 259-262) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
998580688
Dimensions
unknown
Extent
1 online resource (xiv, 288 pages).
File format
unknown
Form of item
online
Isbn
9789386279415
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-93-86279-41-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)998580688
Label
Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 259-262) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
998580688
Dimensions
unknown
Extent
1 online resource (xiv, 288 pages).
File format
unknown
Form of item
online
Isbn
9789386279415
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-93-86279-41-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)998580688

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      38.944491 -92.326012
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