MARC record from Internet Archive

LEADER: 03857cam 2200637Ii 4500
001 ocn998580688
003 OCoLC
005 20220522202101.0
008 170802s2009 ii ob 001 0 eng d
006 m o d
007 cr cnu---unuuu
040 $aGW5XE$beng$erda$epn$cGW5XE$dYDX$dCOO$dUAB$dCAUOI$dEBLCP$dOCLCQ$dLVT$dU3W$dUKAHL$dOCLCQ$dOCLCO
020 $a9789386279415$q(electronic bk.)
020 $a938627941X$q(electronic bk.)
020 $z9788185931920$q(print)
020 $z8185931925$q(print)
024 7 $a10.1007/978-93-86279-41-5$2doi
035 $a(OCoLC)998580688
050 4 $aQA564$b.L247 2009eb
082 04 $a516.353$222
100 1 $aLakshmibai, V.$q(Venkatramani),$eauthor.
245 10 $aFlag varieties :$ban interplay of geometry, combinatorics, and representation theory /$cV. Lakshmibai, Justin Brown.
264 1 $aNew Delhi :$bHindustan Book Agency,$c2009.
300 $a1 online resource (xiv, 288 pages)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aTexts and readings in mathematics ;$v53
504 $aIncludes bibliographical references (pages 259-262) and indexes.
588 0 $aPrint version record.
520 $aFlag 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.
650 0 $aGeometry, Algebraic.
650 0 $aFlag manifolds.
650 0 $aRepresentations of groups.
650 0 $aSemisimple Lie groups.
650 0 $aSchubert varieties.
650 7 $aFlag manifolds.$2fast$0(OCoLC)fst00926917
650 7 $aGeometry, Algebraic.$2fast$0(OCoLC)fst00940902
650 7 $aRepresentations of groups.$2fast$0(OCoLC)fst01094938
650 7 $aSchubert varieties.$2fast$0(OCoLC)fst01108123
650 7 $aSemisimple Lie groups.$2fast$0(OCoLC)fst01112374
655 4 $aElectronic books.
700 1 $aBrown, Justin,$eauthor.
776 08 $iPrint version:$aLakshmibai, V. (Venkatramani).$tFlag varieties.$dNew Delhi : Hindustan Book Agency, ©2009$z9788185931920$w(OCoLC)318668820
830 0 $aTexts and readings in mathematics ;$v53.
856 40 $3ProQuest Ebook Central$uhttps://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5394689
856 40 $3SpringerLink$uhttps://doi.org/10.1007/978-93-86279-41-5
856 40 $3SpringerLink$uhttps://link.springer.com/book/10.1007/978-81-85931-92-0
856 40 $3SpringerLink$uhttps://link.springer.com/book/10.1007/978-93-86279-41-5
856 40 $3VLeBooks$uhttp://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9789386279415
938 $aAskews and Holts Library Services$bASKH$nAH35779776
938 $aProQuest Ebook Central$bEBLB$nEBL5394689
938 $aYBP Library Services$bYANK$n14735364
029 1 $aAU@$b000061333562
994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 195 OTHER HOLDINGS