{"product_id":"gradings-on-simple-lie-algebras","title":"Gradings on Simple Lie Algebras","description":"Gradings are ubiquitous in the theory of Lie algebras, from the root space decomposition of a complex semisimple Lie algebra relative to a Cartan subalgebra to the beautiful Dempwolff decomposition of $E_8$ as a direct sum of thirty-one Cartan subalgebras. This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some nonclassical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form. This work can be used as a textbook for graduate students or as a reference for researchers in Lie theory and neighbouring areas. \u003cbr\u003e\u003cbr\u003eThis book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences (AARMS).","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":54284000199000,"sku":null,"price":122.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780821898468.jpg?v=1780389050","url":"https:\/\/agendabookshop.com\/products\/gradings-on-simple-lie-algebras","provider":"Agenda Bookshop","version":"1.0","type":"link"}