{"product_id":"exceptional-representations-of-simple-algebraic-groups-in-prime-characteristic-von-marines-guerreiro","title":"Exceptional representations of simple algebraic groups","description":"\u003cp\u003eLet G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659618086\"\u003e\u003ch3\u003ein prime characteristic\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659618086","offer_id":39439997272157,"sku":"9783659618086","price":71.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/d73748cc-82eb-4fe4-9a06-6c7746c0dfcf.jpg?v=1772778251","url":"https:\/\/shop.autorenwelt.de\/products\/exceptional-representations-of-simple-algebraic-groups-in-prime-characteristic-von-marines-guerreiro","provider":"Autorenwelt Shop","version":"1.0","type":"link"}