This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long …
"Is there a vector space whose dimension is not the golden ratio? Of course not--the golden ratio is not an integer! But this can happen for generalizations of vector spaces--objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics t…
by Etingof, Pavel, Gelaki, Shlomo, Nikshych, Dmitri, Ostrik, Victor
fromMathematical surveys and monographs
Is there a vector space whose dimension is the golden ratio? Of course not the golden ratio is not an integer! But this can happen for generalizations of vector spaces objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that gen…
by Etingof, Pavel, Gelaki, Shlomo, Nikshych, Dmitri, Ostrik, Victor
fromMathematical surveys and monographs
"Is there a vector space whose dimension is not the golden ratio? Of course not--the golden ratio is not an integer! But this can happen for generalizations of vector spaces--objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics t…
Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 tal…
This is a collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometr…
