Lie Groups, Lie Algebras & Some of Their Applications

Lie Groups, Lie Algebras & Some of Their Applications
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作者:
出版社: Dover Publications
2006-01
版次: 1
ISBN: 9780486445298
定价: 236.80
装帧: 平装
开本: 其他
纸张: 其他
页数: 587页
正文语种: 英语
  • Liegrouptheoryplaysanincreasinglyimportantroleinmodernphysicaltheories.Manyofitscalculationsremainfundamentallyunchangedfromonefieldofphysicstoanother,alteringonlyintermsofsymbolsandthelanguage.UsingthetheoryofLiegroupsasaunifyingvehicle,conceptsandresultsfromseveralfieldsofphysicscanbeexpressedinanextremelyeconomicalway.Withrigorandclarity,thistextintroducesupper-levelundergraduatestudentstoLiegrouptheoryanditsphysicalapplications.
    Anopeningdiscussionofintroductoryconceptsleadstoexplorationsoftheclassicalgroups,continuousgroupsandLiegroups,andLiegroupsandLiealgebras.Somesimplebutilluminatingexamplesarefollowedbyexaminationsofclassicalalgebras,Liealgebrasandrootspaces,rootspacesandDynkindiagrams,realforms,andcontractionsandexpansions.Reinforcedbynumerousexercises,solvedproblems,andfigures,thetextconcludeswithabibliographyandindexes.
  • 内容简介:
    Liegrouptheoryplaysanincreasinglyimportantroleinmodernphysicaltheories.Manyofitscalculationsremainfundamentallyunchangedfromonefieldofphysicstoanother,alteringonlyintermsofsymbolsandthelanguage.UsingthetheoryofLiegroupsasaunifyingvehicle,conceptsandresultsfromseveralfieldsofphysicscanbeexpressedinanextremelyeconomicalway.Withrigorandclarity,thistextintroducesupper-levelundergraduatestudentstoLiegrouptheoryanditsphysicalapplications.
    Anopeningdiscussionofintroductoryconceptsleadstoexplorationsoftheclassicalgroups,continuousgroupsandLiegroups,andLiegroupsandLiealgebras.Somesimplebutilluminatingexamplesarefollowedbyexaminationsofclassicalalgebras,Liealgebrasandrootspaces,rootspacesandDynkindiagrams,realforms,andcontractionsandexpansions.Reinforcedbynumerousexercises,solvedproblems,andfigures,thetextconcludeswithabibliographyandindexes.
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