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
Resource Information
The item Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xiv, 288 pages).
 Isbn
 9789386279415
 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
 Subject

 Geometry, Algebraic
 Geometry, Algebraic
 Geometry, Algebraic
 Representations of groups
 Representations of groups
 Representations of groups
 Schubert varieties
 Schubert varieties
 Schubert varieties
 Semisimple Lie groups
 Semisimple Lie groups
 Semisimple Lie groups
 Flag manifolds
 Flag manifolds
 Flag manifolds
 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
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 259262) 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
 10.1007/9789386279415
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 259262) 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
 10.1007/9789386279415
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)998580688
Subject
 Geometry, Algebraic
 Geometry, Algebraic
 Geometry, Algebraic
 Representations of groups
 Representations of groups
 Representations of groups
 Schubert varieties
 Schubert varieties
 Schubert varieties
 Semisimple Lie groups
 Semisimple Lie groups
 Semisimple Lie groups
 Flag manifolds
 Flag manifolds
 Flag manifolds
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Flagvarietiesaninterplayofgeometry/mSoM72g_kkQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Flagvarietiesaninterplayofgeometry/mSoM72g_kkQ/">Flag varieties : an interplay of geometry, combinatorics, and representation theory, V. Lakshmibai, Justin Brown</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>