{"product_id":"simple-groups-of-lie-type-paperback-softback-9780471506836","title":"Simple Groups of Lie Type (Paperback \/ softback) 9780471506836","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSimple Groups of Lie Type\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eRoger W. Carter (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471506836, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 19 April 1989\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e352 pages\u003cbr\u003e23.1 x 14.7 x 1.6 cm, 0.415 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eNow available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to construct analogues of the complex simple Lie groups over arbitrary fields. The present work presents the basic results in the structure theory of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing Lie groups over finite fields), and develops the theory of Chevalley and Steinberg groups in the general context of groups with a (B,N)-pair. This new edition contains a corrected proof of the simplicity of twisted groups, a completed list of sporadic simple groups in the final chapter and a few smaller amendments; otherwise, this work remains the classic piece of exposition it was when it first appeared in 1971.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePartial table of contents:\u003cbr\u003e \u003cbr\u003e The Classical Simple Groups.\u003cbr\u003e \u003cbr\u003e Weyl Groups.\u003cbr\u003e \u003cbr\u003e Simple Lie Algebras.\u003cbr\u003e \u003cbr\u003e The Chevalley Groups.\u003cbr\u003e \u003cbr\u003e Unipotent Subgroups.\u003cbr\u003e \u003cbr\u003e The Diagonal and Monomial Subgroups.\u003cbr\u003e \u003cbr\u003e The Bruhat Decomposition.\u003cbr\u003e \u003cbr\u003e Polynomial Invariants of the Weyl Group.\u003cbr\u003e \u003cbr\u003e The Exponents of the Weyl Group.\u003cbr\u003e \u003cbr\u003e Further Properties of the Chevalley Groups.\u003cbr\u003e \u003cbr\u003e Generators, Relations and Automorphisms in Chevalley Groups.\u003cbr\u003e \u003cbr\u003e The Twisted Simple Groups.\u003cbr\u003e \u003cbr\u003e Further Properties of the Twisted Groups.\u003cbr\u003e \u003cbr\u003e Associated Geometrical Structures.\u003cbr\u003e \u003cbr\u003e Sporadic Simple Groups.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index of Notation.\u003cbr\u003e \u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52509175906584,"sku":"9780471506836","price":205.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471506836.jpg?v=1786495995","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/simple-groups-of-lie-type-paperback-softback-9780471506836","provider":"Freshly Printed Books","version":"1.0","type":"link"}