{"product_id":"8804775028533","title":"So Far","description":"\u003cp\u003eGradings 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 neighboring areas. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences (AARMS).\u003c\/p\u003e","brand":"Stormy Raines","offers":[{"title":"Default Title","offer_id":47091459588336,"sku":"8804775028533","price":29.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/8804775028533_p0.jpg?v=1763613916","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/8804775028533","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}