{"product_id":"lie-groups-an-introduction-through-linear-groups-oxford-graduate-texts-in-mathematics","title":"Lie Groups: An Introduction through Linear Groups (Oxford Graduate Texts in Mathematics)","description":"\u003ch3\u003e\u003cstrong\u003eBook Details\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: OUP Oxford\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Wulf Rossmann\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\u003eISBN\u003c\/strong\u003e: 9780199202515\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 265\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: 9.2 x 6.1 x 0.6 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAbout The Book\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cem\u003eLie Groups: An Introduction Through Linear Groups\u003c\/em\u003e by Wulf Rossmann offers a well-structured and accessible entry point into the rich world of \u003cstrong\u003eLie groups and their representations\u003c\/strong\u003e, targeting advanced undergraduate and beginning graduate students. Starting from the basics of undergraduate mathematics, the book gradually builds a comprehensive framework to understand the deep connections between \u003cstrong\u003eLie groups and Lie algebras\u003c\/strong\u003e, both from local and global perspectives.\u003c\/p\u003e\n\u003cp\u003eThe text provides a detailed exploration of the \u003cstrong\u003eclassical groups\u003c\/strong\u003e, first using straightforward \u003cstrong\u003ematrix methods\u003c\/strong\u003e and then delving into more advanced tools such as \u003cstrong\u003eCartan subgroups, roots, weights\u003c\/strong\u003e, and \u003cstrong\u003ereflections\u003c\/strong\u003e, which are key to understanding the structure of \u003cstrong\u003esemisimple groups\u003c\/strong\u003e. It includes practical computations of \u003cstrong\u003efundamental groups\u003c\/strong\u003e of classical Lie groups, illustrating their topological complexity.\u003c\/p\u003e\n\u003cp\u003eManifold theory is introduced only where necessary, particularly in the context of \u003cstrong\u003ehomogeneous spaces\u003c\/strong\u003e, with concise yet effective explanations of \u003cstrong\u003edifferential and integral calculus\u003c\/strong\u003e on manifolds. Special emphasis is placed on \u003cstrong\u003eintegration theory\u003c\/strong\u003e as it applies to Lie groups and homogeneous spaces.\u003c\/p\u003e\n\u003cp\u003eThe book also develops the \u003cstrong\u003erepresentation theory\u003c\/strong\u003e of Lie groups from the ground up, beginning with \u003cstrong\u003eSchur’s Lemma\u003c\/strong\u003e, leading into the \u003cstrong\u003ePeter–Weyl Theorem\u003c\/strong\u003e, \u003cstrong\u003eWeyl’s Character Formula\u003c\/strong\u003e, and the \u003cstrong\u003eBorel–Weil Theorem\u003c\/strong\u003e, all within the setting of \u003cstrong\u003elinear groups\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eIdeal for students and researchers in \u003cstrong\u003emathematics and theoretical physics\u003c\/strong\u003e, this volume combines pedagogical clarity with rigorous mathematics, making it a valuable resource for mastering the foundational elements of Lie theory.\u003c\/p\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":49911374676272,"sku":"Sarat_9780199202515","price":3881.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/oxford-university-press-book-default-title-lie-groups-an-introduction-through-linear-groups-oxford-graduate-texts-in-mathematics-41209249694000.jpg?v=1775966000","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/lie-groups-an-introduction-through-linear-groups-oxford-graduate-texts-in-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}