"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…
The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor val…
The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor val…
The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor val…
This open access book focuses on processing, modeling, and visualization of anisotropy information ... --
"We investigate the relationship between the algebra of tensor categories and the topology of framed 3-manifolds. On the one hand, tensor categories with certain algebraic properties determine topological invariants. We prove that fusion categories of nonzero global dimension ar…
