Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies chain ...

The Nappi-Witten Lie algebra was first introduced by C. Nappi and E. Witten in the study of Wess-Zumino-Novikov-Witten (WZNW) models. They showed that the WZNW model (NW model) based on a central ...

Weak Hopf algebras were introduced by G. Böhm and K. Szlachányi as a generalization of usual Hopf algebras and groupoid algebras [1] [2] . A weak Hopf algebra is a vector space that has both algebra ...

There are more undocumented features which will be explained once the design matures. Fundamental principle of design is to construct Field algebra from an abelian Group algebra construction built on ...

In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

We show that the full matrix algebra Mat_p(C) is a quantum commutative U-module algebra for U=U_q sl(2), a quantum sl(2) group at the 2p-th root of unity. Mat_p(C) decomposes into a direct sum of ...

This module is unique in that it eschews the tactic-oriented style of traditional Coq developments. As pointed out by others, programs written in that style are brittle, hard to read, and generally ...

Please ensure you check the module availability box for each module outline, as not all modules will run in each academic year. Each module description relates to the year indicated in the module ...

Graphs are often used in everyday life to give information about how two quantities are related. The gradient and intercept of the graph can be interpreted from the graphs. Before reading this guide, ...