{"product_id":"lie-groups-lie-algebras-and-representations-an-elementary-introduction-graduate-texts-in-mathematics-222-1","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 comprehensive and accessible introduction to one of the most important areas of modern mathematics. Written with clarity and rigor, this textbook provides a foundational treatment of Lie theory, beginning with matrix Lie groups and their corresponding Lie algebras, using only linear algebra as a prerequisite. Its intuitive explanations and detailed motivation behind proofs make it ideal for early graduate-level students.\u003c\/p\u003e\n\u003cp\u003eThis second edition has been significantly expanded and enhanced. Key highlights include an innovative approach to semisimplicity, a full derivation of the properties of root systems, and a thorough development of the structure and representation theory of compact Lie groups. The book offers clear treatments of the \u003cstrong\u003eBaker–Campbell–Hausdorff formula\u003c\/strong\u003e, \u003cstrong\u003euniversal enveloping algebras\u003c\/strong\u003e, and essential results such as the \u003cstrong\u003ePoincaré–Birkhoff–Witt theorem\u003c\/strong\u003e, \u003cstrong\u003eVerma modules\u003c\/strong\u003e, \u003cstrong\u003eWeyl character formula\u003c\/strong\u003e, and \u003cstrong\u003eKostant multiplicity formula\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eHall also uniquely motivates advanced concepts like root systems, weights, and the Weyl group through concrete examples, such as the representation theory of \u003cstrong\u003esl(3;C)\u003c\/strong\u003e. The book’s self-contained style and independent development of compact group representations without relying heavily on Lie algebra theory add to its teaching value.\u003c\/p\u003e\n\u003cp\u003eHighly recommended by \u003cem\u003eThe Mathematical Gazette\u003c\/em\u003e as a future standard for graduate-level study, this book is an essential addition to the library of anyone interested in mathematical physics, advanced algebra, or differential geometry.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC","offers":[{"title":"Default Title","offer_id":49911542448432,"sku":"Sarat_9789814730662","price":5558.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/world-scientific-book-default-title-lie-groups-lie-algebras-and-representations-an-elementary-introduction-graduate-texts-in-mathematics-222-41209552437552.jpg?v=1775966003","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/lie-groups-lie-algebras-and-representations-an-elementary-introduction-graduate-texts-in-mathematics-222-1","provider":"Retail Maharaj","version":"1.0","type":"link"}