Projective Duality and Homogeneous Spaces: 133 by Evgueni A. Tevelev PDF
By Evgueni A. Tevelev
By Evgueni A. Tevelev
By C. M. Campbell,E. F. Robertson
By A. Martsinkovsky,G. Todorov
By Victor Ginzburg
This publication represents a set of invited papers through striking mathematicians in algebra, algebraic geometry, and quantity concept devoted to Vladimir Drinfeld. unique learn articles mirror the variety of Drinfeld's paintings, and his profound contributions to the Langlands application, quantum teams, and mathematical physics are paid specific recognition. those ten unique articles through favorite mathematicians, devoted to Drinfeld at the get together of his fiftieth birthday, generally replicate the diversity of Drinfeld's personal pursuits in algebra, algebraic geometry, and quantity theory.
By Rudolf Lidl,Harald Niederreiter
By Eberhard Kaniuth,Keith F. Taylor
By Jonathan K. Hodge,Steven Schlicker,Ted Sundstrom
To research and comprehend arithmetic, scholars needs to interact within the means of doing mathematics. Emphasizing lively studying, Abstract Algebra: An Inquiry-Based Approach not just teaches summary algebra but in addition presents a deeper realizing of what arithmetic is, the way it is finished, and the way mathematicians imagine.
The ebook can be utilized in either rings-first and groups-first summary algebra classes. a variety of actions, examples, and workouts illustrate the definitions, theorems, and ideas. via this attractive studying method, scholars observe new rules and improve the required verbal exchange abilities and rigor to appreciate and follow techniques from summary algebra. as well as the actions and workouts, every one bankruptcy features a brief dialogue of the connections between subject matters in ring concept and team conception. those discussions support scholars see the relationships among the 2 major forms of algebraic gadgets studied during the text.
Encouraging scholars to do arithmetic and be greater than passive inexperienced persons, this article indicates scholars that the way in which arithmetic is built is usually varied than the way it is gifted; that definitions, theorems, and proofs don't easily seem absolutely shaped within the minds of mathematicians; that mathematical rules are hugely interconnected; and that even in a box like summary algebra, there's a enormous volume of instinct to be found.
By Stephanie Frank Singer
By Valerio Capraro,Martino Lupini,Vladimir Pestov
This monograph offers a few cornerstone leads to the learn of sofic and hyperlinear teams and the heavily comparable Connes' embedding conjecture. those notions, in addition to the proofs of many effects, are offered within the framework of version conception for metric buildings. This perspective, hardly explicitly followed within the literature, clarifies the information therein, and offers extra instruments to assault open problems.
Sofic and hyperlinear teams are countable discrete teams that may be definitely approximated through finite symmetric teams and teams of unitary matrices. those deep and fruitful notions, brought by means of Gromov and Radulescu, respectively, within the past due Nineteen Nineties, prompted a powerful quantity of study within the final 15 years, touching a number of doubtless far away components of arithmetic together with geometric workforce idea, operator algebras, dynamical structures, graph conception, and quantum info conception. numerous long-standing conjectures, nonetheless open for arbitrary teams, at the moment are settled for sofic or hyperlinear groups.
The presentation is self-contained and obtainable to a person with a graduate-level mathematical historical past. particularly, no particular wisdom of good judgment or version idea is needed. The monograph additionally includes many routines, to assist familiarize the reader with the subjects present.
By Gan Wee Teck,Tan Kai Meng,Wee Teck Gan,Kai Meng Tan
This quantity is an outgrowth of this system Modular illustration idea of Finite and p-Adic Groups held on the Institute for Mathematical Sciences at nationwide college of Singapore throughout the interval of 1–26 April 2013. It comprises examine works within the components of modular illustration conception of p-adic teams and finite teams and their similar algebras. the purpose of this quantity is to supply a bridge — the place interactions are infrequent among researchers from those components — by means of highlighting the newest advancements, suggesting strength new learn difficulties, and selling new collaborations.
It might be one of many few volumes, if not just, which treats any such juxtaposition of various issues, emphasizing their universal middle on the center of Lie theory.