یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 239-246) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
متن يادداشت
Poset theory -- Basics on the theory of local rings -- Lefschetz properties -- Compete intersections with the SLP -- A generalization of Lefschetz elements -- k-Lefschetz properties -- Cohomology rings -- Invariant theory and Lefschetz property -- The strong Lefschetz property and the SchurWeyl duality.
فروست (داده ارتباطی)
عنوان
Lecture notes in mathematics (Springer-Verlag) ;2080.0075-8434
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Geometry, Algebraic
موضوع مستند نشده
Artin rings
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )