{"product_id":"lie-groups-lie-algebras-and-representations-an-elementary-introduction-graduate-texts-in-mathematics-222","title":"Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in Mathematics, 222)","description":"\u003ch3\u003e\u003cstrong\u003eBook Details\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Brian Hall\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguage\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: Softcover reprint of the original 2nd ed. 2015\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9783319374338\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 462\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eCover\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions\u003c\/strong\u003e: 9.1 x 6.0 x 1.2 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003e\u003cstrong\u003eAbout The Book\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cp\u003e\u003cem\u003eLie Groups, Lie Algebras, and Representations\u003c\/em\u003e by \u003cstrong\u003eBrian Hall\u003c\/strong\u003e is a widely acclaimed and accessible textbook that introduces readers to the theory of Lie groups and Lie algebras with a clear, rigorous approach. Unlike many traditional texts that require a strong background in advanced mathematics, this volume is structured to be approachable with just a foundation in linear algebra, making it an ideal choice for graduate students and advanced undergraduates.\u003c\/p\u003e\n\u003cp\u003eThe book systematically develops the theory of matrix Lie groups and their associated Lie algebras while maintaining a balance between mathematical rigor and intuitive explanation. Highlights of the book include an elegant treatment of the \u003cstrong\u003eBaker–Campbell–Hausdorff formula\u003c\/strong\u003e, a unique and streamlined definition of \u003cstrong\u003esemisimplicity\u003c\/strong\u003e, and an in-depth presentation of \u003cstrong\u003esl(3;C)\u003c\/strong\u003e to introduce root systems and the \u003cstrong\u003eWeyl group\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eThis second edition features several major additions, including an entirely new section on the \u003cstrong\u003estructure and representation theory of compact Lie groups\u003c\/strong\u003e, expanded material on \u003cstrong\u003efinite-dimensional representations\u003c\/strong\u003e, and comprehensive discussions on \u003cstrong\u003euniversal enveloping algebras\u003c\/strong\u003e, complete with a proof of the \u003cstrong\u003ePoincaré–Birkhoff–Witt theorem\u003c\/strong\u003e and \u003cstrong\u003eVerma modules\u003c\/strong\u003e. The inclusion of proofs for the \u003cstrong\u003eWeyl character formula\u003c\/strong\u003e, \u003cstrong\u003eWeyl dimension formula\u003c\/strong\u003e, and \u003cstrong\u003eKostant multiplicity formula\u003c\/strong\u003e make this a valuable reference for those pursuing advanced study or research in theoretical mathematics and physics.\u003c\/p\u003e\n\u003cp\u003eHighly praised for its clarity and depth, this textbook is considered a standard reference in its field and a must-have for anyone looking to master the foundational tools of Lie theory.\u003c\/p\u003e","brand":"Springer-Verlag","offers":[{"title":"Default Title","offer_id":49911533371696,"sku":"Sarat_9783319374338","price":5460.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/springer-verlag-book-default-title-lie-groups-lie-algebras-and-representations-an-elementary-introduction-graduate-texts-in-mathematics-222-41209533104432.jpg?v=1775966006","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/lie-groups-lie-algebras-and-representations-an-elementary-introduction-graduate-texts-in-mathematics-222","provider":"Retail Maharaj","version":"1.0","type":"link"}