Engineering↗
Representations, Characters and Finite-Group Applications
Handbook guide to representations, characters, with definitions, key results, methods, verification checks and worked examples.
Tag
applications
Every page in the KEVOS library tagged applications. 8 pages.
Engineering↗
Sylow Theory and Finite-Group Applications
Handbook guide to sylow theory and finite-group applications with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Applications of the Hermite Normal Form
Solving integer linear systems, computing indices and intersections, and testing module membership using the Hermite normal form.
Engineering↗
Derived and Stable Categories
The derived category, localisation at quasi-isomorphisms, triangulated structure, derived functors in the modern sense, and the stable module category.
Engineering↗
Finiteness Conditions on Groups
Cohomological dimension of groups, the Stallings-Swan theorem, finiteness conditions FP_n and F_n, duality groups, and the role of torsion.
Engineering↗
Homological Algebra and Algebraic Topology
The topological origins of homological algebra, singular and cellular chains, the Eilenberg-Zilber and Kunneth theorems in topology, classifying spaces, and the dictionary betwe…
Engineering↗
Modular Representation Theory
Representation theory in characteristic dividing the group order, failure of semisimplicity, relative projectivity, complexity and support varieties, and the Quillen stratificat…
Engineering↗
Nilpotent Groups and Homology
The lower central series, homological characterisation of nilpotent quotients, the Stallings and Stammbach theorems, and applications to group presentations.
Related
Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
Manufacturing 76
algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26