03182nam 22006012 450 991046335610332120151005020621.01-107-23652-51-107-30576-41-107-30160-21-107-30669-81-107-30889-51-107-31224-81-299-00906-91-107-31444-51-139-20700-8(CKB)2670000000329901(EBL)1113083(OCoLC)827210322(UkCbUP)CR9781139207003(MiAaPQ)EBC1113083(Au-PeEL)EBL1113083(CaPaEBR)ebr10649589(CaONFJC)MIL432156(EXLCZ)99267000000032990120111124d2013|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierCombinatorics of minuscule representations /R.M. Green, University of Colorado, Denver[electronic resource]Cambridge :Cambridge University Press,2013.1 online resource (vii, 320 pages) digital, PDF file(s)Cambridge tracts in mathematics ;199Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-02624-5 Includes bibliographical references and index.Classical 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.Minuscule 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.Cambridge tracts in mathematics ;199.Representations of Lie algebrasCombinatorial analysisRepresentations of Lie algebras.Combinatorial analysis.512/.482Green R. M.1971-1041472UkCbUPUkCbUPBOOK9910463356103321Combinatorics of minuscule representations2464999UNINA01260nam0 22002771i 450 UON0002895320231205102051.87820020107d1975 |0itac50 barusRU|||| 1||||Evoljucija malajskogo klassiceskogo stixa (povestvovatel'nye formy fol'klornoj i pis'mennoj poezii)V. I. BraginskijMoskvaIzd. "Nauka"1975 206 p. ; 19 cCon breve sunto in ingleseLETTERATURA MALESEPOESIACRITICAUONC007828FIRUMoskvaUONL003152MAL VI ABMALESIA - LETTERATURA CLASSICA - CRITICAABRAGINSKIJVladimir IosifovicUONV008952638462Akademija Nauk SSSRUONV247334650BRAGINSKY, V. I.BRAGINSKIJ, Vladimir IosifovicUONV019561ITSOL20241213RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00028953SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI MAL VI AB 007 N SI SA 11020 5 007 N Evoljucija malajskogo klassiceskogo stixa (povestvovatel'nye formy fol'klornoj i pis'mennoj poezii1187432UNIOR