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 …

Let K be a commutative ring with unit. For a K-linear endomorphism f: X! X of a free K-
module of ˇnite rank X, we have the usual trace Tr (f) 2 K deˇned as the trace of the matrix of f …

This invaluable book is an introduction to knot and link invariants as generalised amplitudes
for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical …

Ribbon graphs and their invaraints derived from quantum groups Page 1 Commun. Math.
Phys. 127, 1-26 (1990) Communications in Mathematical Physics 9 Springer-Verlag 1990 …

Categories enriched with tensor products, here called tensor categories, but also called
monoidal categories, have been studied and used extensively in the literature [ML1, EK …

This article is intended as a reference guide to various notions of monoidal categories and
their associated string diagrams. It is hoped that this will be useful not just to …

The goal of this first paper is to formalise the use of certain diagrams for a wide variety of
situations in pure and applied mathematics. The main examples are the Feynman diagrams …

We derive new holonomic q-difference equations for the matrix coefficients of the products of
intertwining operators for quantum affine algebra representations of level k. We study the …

It is the purpose of this paper to make explicit the connection between J.-Y. Girard's “linear
logic”[4], and certain models for the logic of quantum mechanics, namely Mulvey's …

A brief outline of the categorical characterisation of Girard's linear logic is given, analagous
to the relationship between cartesian closed categories and typed A-calculus. The linear …