{"product_id":"theory-of-hopf-algebras-attached-to-group-schemes-9783540084440","title":"Theory of Hopf Algebras Attached to Group Schemes","description":"\u003cp\u003e • Author(s): H. Yanagihara\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003eGroup schemes over a field.- Group subschemes of a group scheme.- Coalgebras over a field.- Hopf algebras over a field.- Structures of colocal bigebras.- Formal groups over a field.- Structures of formal groups as local rings.- Algebraic Hopf subalgebras.- Rational representations of group schemes.- Joins and intersections of group subschemes.- Adjoint representations of group schemes.- Normalizers of Hopf subalgebras and group subschemes.- Centralizers of Hopf subalgebras and group subschemes.- Commutators of Hopf subalgebras and group subschemes.- Lie algebras attached to group schemes.- Left invariant semi-derivations of group varieties.- Algebraic schemes on which a group scheme operates.- Isogenies of group varieties.- Kernels of purely inseparable isogenies.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47592251981975,"sku":"9783540084440","price":3479.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540084440.webp?v=1774977001","url":"https:\/\/atlanticbooks.com\/products\/theory-of-hopf-algebras-attached-to-group-schemes-9783540084440","provider":"Atlantic Books","version":"1.0","type":"link"}