In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring that is a semisimple module over itself is known as an Artinian semisimple ring. Some important rings, such as group rings of finite groups over fields of characteristic zero, are semisimple rings. An Artinian ring is initially understood via its largest semisimple quotient. The structure of Artinian semisimple rings is well understood by the Artin–Wedderburn theorem, which exhibits these rings as finite direct products of matrix rings. For a group-theory analog of the same notion, see Semisimple representation. (Wikipedia).
Partial fractions + integration
Free ebook http://tinyurl.com/EngMathYT An example on how to integrate using partial fractions.
From playlist A second course in university calculus.
How to integrate by partial fractions
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook How to integrate by the method of partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is a fraction such that the numerator
From playlist A second course in university calculus.
Free ebook http://tinyurl.com/EngMathYT An example on how to integrate quickly using partial fractions.
From playlist A second course in university calculus.
Integration & partial fractions
Free ebook http://tinyurl.com/EngMathYT An example of how to integrate using partial fractions (with repeated factors).
From playlist A second course in university calculus.
Partialbruchzerlegung: Eine Einführung
Heute behandeln wir die Partialbruchzerlegung. Hierbei handelt es sich nur um eine kleine Einführung um die Verfahrensweise zu verstehen. An introduction to partial fraction decomposition - German version
From playlist Theorie und Beweise
Integration + partial fractions
Free ebook http://tinyurl.com/EngMathYT An example on how to integrate using partial fractions.
From playlist A second course in university calculus.
Integration by partial fractions
Free ebook http://tinyurl.com/EngMathYT Example of how to integrate using partial fractions.
From playlist A second course in university calculus.
Partial fractions are SPECIAL! (Repeated linear factors)
► My Integrals course: https://www.kristakingmath.com/integrals-course The tricky thing about partial fractions is that there are four kinds of partial fractions problems. The kind of partial fractions decomposition you'll need to perform depends on the kinds of factors in your denominato
From playlist Integrals
PARTIAL FRACTIONS example with distinct linear factors
► My Integrals course: https://www.kristakingmath.com/integrals-course The tricky thing about partial fractions is that there are four kinds of partial fractions problems. The kind of partial fractions decomposition you'll need to perform depends on the kinds of factors in your denominato
From playlist Integrals
Representations of finite groups of Lie type (Lecture - 3) by Dipendra Prasad
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Anton Alekseev: Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld
Abstract: Let G be a connected semisimple Lie group with Lie algebra 𝔤. There are two natural duality constructions that assign to it the Langlands dual group G^∨ (associated to the dual root system) and the Poisson-Lie dual group G^∗. Cartan subalgebras of 𝔤^∨ and 𝔤^∗ are isomorphic to ea
From playlist Topology
Representation theory and geometry – Geordie Williamson – ICM2018
Plenary Lecture 17 Representation theory and geometry Geordie Williamson Abstract: One of the most fundamental questions in representation theory asks for a description of the simple representations. I will give an introduction to this problem with an emphasis on the representation theor
From playlist Plenary Lectures
TQFTs from non-semisimple modular categories and modified traces, Marco de Renzi, Lecture II
Lecture series on modified traces in algebra and topology Topological Quantum Field Theories (TQFTs for short) provide very sophisticated tools for the study of topology in dimension 2 and 3: they contain invariants of 3-manifolds that can be computed by cut-and-paste methods, and their e
From playlist Lecture series on modified traces in algebra and topology
David Zywina, Computing Sato-Tate and monodromy groups.
VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Catharina Stroppel: Fusion rings from quantum groups and DAHA actions
Abstract: In this talk I will give a short overview about fusion rings arising from quantum groups at odd and even roots of unities. These are Grothendieck rings of certain semisimple tensor categories. Then I will study these rings in more detail. The main focus of the talk will be an exp
From playlist Mathematical Physics
Decomposition theorem for semisimple algebraic holonomic D-modules - Takuro Mochizuki
Members' Seminar Topic: Decomposition theorem for semisimple algebraic holonomic D-modules Speaker: Takuro Mochizuki Affiliation: Kyoto University Date: November 13, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Semisimple $\mathbb{Q}$-algebras in algebraic combinatorics by Allen Herman
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
A Hecke action on the principal block of a semisimple algebraic group - Simon Riche
Workshop on Representation Theory and Geometry Topic: A Hecke action on the principal block of a semisimple algebraic group Speaker: Simon Riche Affiliation: Université Paris 6; Member, School of Mathematics Date: April 01, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Paolo Piazza: Proper actions of Lie groups and numeric invariants of Dirac operators
HYBRID EVENT shall explain how to define and investigate primary and secondary invariants of G-invariant Dirac operators on a cocompact G-proper manifold, with G a connected real reductive Lie group. This involves cyclic cohomology and Ktheory. After treating the case of cyclic cocycles a
From playlist Lie Theory and Generalizations
Ex: Setting Up Partial Fraction Decomposition
This video provides several examples of how to set up the fractions in order to perform partial fraction decomposition. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Performing Partial Fraction Decomposition