Abelian category

Formal sciences
Mathematics
Topology
Algebraic topology

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (25)

Page 2 of 3

Derived Functors

Explores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.

Cohomology: Cross Product

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Group Cohomology

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Group Presentations: Abelian Groups

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

Adjunctions and Limits: Exploring Functors and Co-limits

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Finite Abelian Groups

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Schematic Models: Quasi-Categories and ∞-Groupoids

Covers schematic models, emphasizing quasi-categories and ∞-groupoids in modeling categories.

Standard Model Overview

Provides an in-depth analysis of the Standard Model, covering topics such as the Higgs mechanism, gauge boson interactions, and the role of chirality in particle physics.

Group representations constructions

Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

Evaluation of Readiness State

Covers evaluating readiness in digital education, emphasizing comprehensive assessment tailored to specific contexts.