Noncommutative Algebra and Geometry

✍ Scribed by Corrado De Concini, Freddy Van Oystaeyen, Nikolai Vavilov, Anatoly Yakovlev

• Publisher: Chapman and Hall/CRC
• Year: 2005
• Tongue: English
• Leaves: 267
• Series: Lecture Notes in Pure and Applied Mathematics
• Category: Library

✦ Synopsis

A valuable addition to the Lecture Notes in Pure and Applied Mathematics series, this reference results from a conference held in St. Petersburg, Russia, in honor of Dr. Z. Borevich. This volume is mainly devoted to the contributions related to the European Science Foundation workshop, organized under the framework of noncommuntative geometry and integrated in the Borevich meeting. The topics presented, including algebraic groups and representations, algebraic number theory, rings, and modules, are a timely distillation of recent work in the field. Featuring a wide range of international experts as contributors, this book is an ideal reference for mathematicians in algebra and algebraic geometry.

✦ Table of Contents

Front Cover......Page 1
Introduction......Page 8
Contributors......Page 10
Table of Contents......Page 12
FINITE GALOIS STABLE SUBGROUPS OF......Page 14
DERIVED CATEGORIES FOR NODAL RINGS AND PROJECTIVE CONFIGURATIONS......Page 36
CROWNS IN PROFINITE GROUPS AND APPLICATIONS......Page 60
THE GALOIS STRUCTURE OF AMBIGUOUS IDEALS IN CYCLIC EXTENSIONS OF DEGREE 8......Page 76
AN INTRODUCTION TO NONCOMMUTATIVE DEFORMATIONS OF MODULES......Page 103
SYMMETRIC FUNCTIONS, NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND QUASISYMMETRIC FUNCTIONS II......Page 139
QUOTIENT GROTHENDIECK REPRESENTATIONS......Page 160
ON THE STRONG RIGIDITY OF SOLVABLE LIE ALGEBRAS......Page 175
THE ROLE OF A THEOREM OF BERGMAN IN INVESTIGATING IDENTITIES IN MATRIX ALGEBRAS WITH SYMPLECTIC INVOLUTION∗......Page 188
THE TRIANGULAR STRUCTURE OF LADDER FUNCTORS......Page 197
NON-COMMUTATIVE ALGEBRAIC GEOMETRY AND COMMUTATIVE DESINGULARIZATIONS......Page 216
Author Index......Page 266