Theorems in representation theory | Theorems in group theory | Representation theory of finite groups

Maschke's theorem

In mathematics, Maschke's theorem, named after Heinrich Maschke, is a theorem in group representation theory that concerns the decomposition of representations of a finite group into irreducible pieces. Maschke's theorem allows one to make general conclusions about representations of a finite group G without actually computing them. It reduces the task of classifying all representations to a more manageable task of classifying irreducible representations, since when the theorem applies, any representation is a direct sum of irreducible pieces (constituents). Moreover, it follows from the Jordan–Hölder theorem that, while the decomposition into a direct sum of irreducible subrepresentations may not be unique, the irreducible pieces have well-defined multiplicities. In particular, a representation of a finite group over a field of characteristic zero is determined up to isomorphism by its character. (Wikipedia).

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Riemann Roch: Proof, part 1

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From playlist Algebraic geometry: extra topics

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The Schrodinger Equation is (Almost) Impossible to Solve.

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From playlist Quantum Physics by Parth G

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Separation of variables and the Schrodinger equation

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From playlist Mathematical Physics II - Youtube

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History of representation theory in quantum mechanics

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From playlist Physics

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How the Schrodinger Equation Predicts Real Life (and Why It's So Difficult) - Quantum Mech Parth G

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From playlist Quantum Physics by Parth G

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Bernhard Maschke : Hamiltonian control systems for open Irreversible Thermodynamic systems

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From playlist Geometry

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From playlist Mathematics

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The Schrodinger equation made simple | Linearity

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From playlist Quantum Mechanics (all the videos)

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From playlist Schrödinger's equation

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Physicist Explains Wikipedia Page: The Schrodinger Equation

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From playlist Quantum Physics by Parth G

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Riemann Roch (Introduction)

This lecture is part of an online course on algebraic geometry, following the book "Algebraic geometry" by Hartshorne. It is the first of a few elementary lectures on the Riemann-Roch theorem, mostly for compact complex curves. In this lecture we state the Riemann Roch theorem and explain

From playlist Algebraic geometry: extra topics

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Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f

From playlist Math 1171 (Calculus 1) Fall 2021

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Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

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What is Green's theorem? Chris Tisdell UNSW

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From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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Real Analysis Ep 32: The Mean Value Theorem

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From playlist Math 3371 (Real analysis) Fall 2020

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Pythagorean theorem - What is it?

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From playlist Geometry

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Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]

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From playlist Wolfram Physics Project Livestream Archive

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Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains

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From playlist AATRN 2020

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Worldwide Calculus: Extrema and the Mean Value Theorem

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From playlist Worldwide Single-Variable Calculus for AP®

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Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (12 of 92) Time & Position Dependencies 1/3

Visit http://ilectureonline.com for more math and science lectures! In this video I will separate the time and position dependencies of the Schrodinger's equation, part 1/3. Next video in this series can be seen at: https://youtu.be/djlpmDUtIZY

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

Related pages

Schur orthogonality relations | Order (group theory) | Subrepresentation | Converse (logic) | Category of representations | Character theory | Group representation | Semisimple algebra | Vector space | Division ring | Semi-simplicity | Isomorphism | Group (mathematics) | Semisimple module | Mathematical proof | Rational number | Finite group | Group ring | Corollary | Characteristic (algebra) | Mathematics | Unit (ring theory) | Field (mathematics) | Simple module | Real number | Multiplicity (mathematics) | Isomorphism of categories | Prime number | Matrix (mathematics) | Irreducible representation | Orthogonal complement | Splitting lemma