Deformation Of Artinian Algebras And Jordan Type
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Author | : Anthony Iarrobino |
Publisher | : American Mathematical Society |
Total Pages | : 254 |
Release | : 2024-09-06 |
Genre | : Mathematics |
ISBN | : 1470473569 |
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18?22, 2022, at the Universit‚ Grenoble Alpes, Grenoble, France. Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case. Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.
Author | : Uwe Nagel |
Publisher | : Springer Nature |
Total Pages | : 233 |
Release | : |
Genre | : |
ISBN | : 9819738865 |
Author | : Lizhen Ji |
Publisher | : American Mathematical Soc. |
Total Pages | : 520 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821875868 |
This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.
Author | : Università di Padova. Seminario matematico |
Publisher | : |
Total Pages | : 628 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : |
Author | : Eivind Eriksen |
Publisher | : CRC Press |
Total Pages | : 242 |
Release | : 2017-09-19 |
Genre | : Mathematics |
ISBN | : 1498796028 |
Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.
Author | : |
Publisher | : |
Total Pages | : 792 |
Release | : 1989 |
Genre | : Functions of complex variables |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 1852 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 524 |
Release | : 1989 |
Genre | : Functional analysis |
ISBN | : |
Author | : Pierre-Loic Meliot |
Publisher | : CRC Press |
Total Pages | : 567 |
Release | : 2017-05-12 |
Genre | : Mathematics |
ISBN | : 1315353857 |
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.
Author | : Anthony Ayers Iarrobino |
Publisher | : American Mathematical Soc. |
Total Pages | : 128 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0821825763 |
In 1904, Macaulay described the Hilbert function of the intersection of two plane curve branches: It is the sum of a sequence of functions of simple form. This monograph describes the structure of the tangent cone of the intersection underlying this symmetry. Iarrobino generalizes Macaulay's result beyond complete intersections in two variables to Gorenstein Artin algebras in an arbitrary number of variables. He shows that the tangent cone of a Gorenstein singularity contains a sequence of ideals whose successive quotients are reflexive modules. Applications are given to determining the multiplicity and orders of generators of Gorenstein ideals and to problems of deforming singular mapping germs. Also included are a survey of results concerning the Hilbert function of Gorenstein Artin algebras and an extensive bibliography.