{"product_id":"9783540767565","title":"Encyclopaedia of Mathematical Sciences: Invariant Theoretic Approach","description":"\u003ch1\u003eEncyclopaedia of Mathematical Sciences: Invariant Theoretic Approach\u003c\/h1\u003e \u003ch2\u003eLakshmibai, V.; Raghavan, K. N.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eSchubert varieties lie at the cross roads of algebraic geometry, combinatorics, commutative algebra, and representation theory. They are an important class of subvarieties of flag varieties, interesting in their own right, and providing an inductive tool for studying flag varieties. The literature on them is vast, for they are ubiquitous - they have been intensively studied over the last fifty years, from many different points of view.\u003c\/p\u003e\n\u003cp\u003eThis book is mainly a detailed account of a particularly interesting instance of their occurrence: namely, in relation to classical invariant theory. More precisely, it is about the connection between the first and second fundamental theorems of classical invariant theory and standard monomial theory for Schubert varieties in certain special flag varieties. Historically, this connection was the prime motivation for the development of standard monomial theory. Determinantal varieties and basic concepts of geometric invariant theory arise naturally in establishing the connection.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2008-01-29\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540767565\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-76757-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 266\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":46540541886604,"sku":"9783540767565","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540767565.jpg?v=1775706385","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540767565","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}