LEADER 03248nam 22006252 450 001 9910809560003321 005 20151005020621.0 010 $a1-107-23652-5 010 $a1-107-30576-4 010 $a1-107-30160-2 010 $a1-107-30669-8 010 $a1-107-30889-5 010 $a1-107-31224-8 010 $a1-299-00906-9 010 $a1-107-31444-5 010 $a1-139-20700-8 035 $a(CKB)2670000000329901 035 $a(EBL)1113083 035 $a(OCoLC)827210322 035 $a(UkCbUP)CR9781139207003 035 $a(MiAaPQ)EBC1113083 035 $a(Au-PeEL)EBL1113083 035 $a(CaPaEBR)ebr10649589 035 $a(CaONFJC)MIL432156 035 $a(PPN)261295373 035 $a(EXLCZ)992670000000329901 100 $a20111124d2013|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCombinatorics of minuscule representations /$fR.M. Green, University of Colorado, Denver$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2013. 215 $a1 online resource (vii, 320 pages) $cdigital, PDF file(s) 225 1 $aCambridge tracts in mathematics ;$v199 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-02624-5 320 $aIncludes bibliographical references and index. 327 $aClassical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures. 330 $aMinuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical purposes can be thought of as certain labelled partially ordered sets. This leads to uniform constructions of (most) simple Lie algebras over the complex numbers and their associated Weyl groups, and provides a common framework for various applications. The topics studied include Chevalley bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a background in linear and abstract algebra and topology. Each chapter concludes with historical notes, references to the literature and suggestions for further reading. 410 0$aCambridge tracts in mathematics ;$v199. 606 $aRepresentations of Lie algebras 606 $aCombinatorial analysis 615 0$aRepresentations of Lie algebras. 615 0$aCombinatorial analysis. 676 $a512/.482 686 $aMAT002000$2bisacsh 700 $aGreen$b R. M.$f1971-$01607847 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910809560003321 996 $aCombinatorics of minuscule representations$93934280 997 $aUNINA LEADER 02189nas 2200649-a 450 001 996202431203316 005 20211223213021.0 011 $a1678-4936 035 $a(DE-599)ZDB2031021-3 035 $a(OCoLC)46999141 035 $a(CKB)110975506069475 035 $a(CONSER)--2001252658 035 $a(EXLCZ)99110975506069475 100 $a20010523b19952002 s-- - 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe journal of venomous animals and toxins $epublication of the Centro de Estudos de Venenos e Animais Peçonhentos - CEVAP, Universidade Estadual Paulista - UNESP 210 $aBotucatu, SP, Brazil $cCEVAP$d©1998-©2003 300 $aRefereed/Peer-reviewed 300 $aTitle from journal home page (viewed May 23, 2001). 311 $a0104-7930 517 3 $aVenomous animals and toxins 531 $aJ VENOM ANIM TOXINS 531 $aJOURNAL OF VENOMOUS ANIMALS AND TOXINS 531 00$aJ. venom. anim. toxins 606 $aPoisonous animals$vPeriodicals 606 $aVenom$vPeriodicals 606 $aVenoms 606 $aToxins, Biological 606 $aAnimals, Poisonous 606 $a42.60 zoology: general$2bcl 606 $a44.41 toxicology (medicine)$2bcl 606 $aPoisonous animals$2fast$3(OCoLC)fst01068156 606 $aVenom$2fast$3(OCoLC)fst01165238 606 $a42.60 zoology: general$2nbc 606 $a44.41 toxicology (medicine)$2nbc 608 $aPeriodical. 608 $aPeriodicals.$2fast 615 0$aPoisonous animals 615 0$aVenom 615 2$aVenoms. 615 2$aToxins, Biological. 615 2$aAnimals, Poisonous. 615 7$a42.60 zoology: general. 615 7$a44.41 toxicology (medicine) 615 7$aPoisonous animals. 615 7$aVenom. 615 7$a42.60 zoology: general. 615 7$a44.41 toxicology (medicine) 712 02$aUniversidade Estadual Paulista.$bCentro de Estudos de Venenos e Animais Peçonhentos. 906 $aJOURNAL 912 $a996202431203316 996 $aThe journal of venomous animals and toxins$92074686 997 $aUNISA