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 ...

It’s created a canonical Lie algebra in electrodynamics with all the “nice” algebraic and geometrical properties of an universal enveloping algebra with the goal of can to obtain generalizations in ...

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 ...

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 ...

Department of Higher Algebra, Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Leninskiye Gory, D.1, Main Building, GSP-1, 119991 Moskva, Russia Moscow State Technical ...

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 ...

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 ...

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 ...

An algebraic fraction is a fraction with algebraic terms in the numerator or the denominator or both. Module 3 (M3) - Algebra - Expanding and simplifying Factorising an expression in maths means ...