Issai Schur

Representation of finite groups over arbitrary fields by Ravindra S. Kulkarni

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

The BuShou of HanZi :禾

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The BuShou of HanZi :耳

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The BuShou of HanZi :心

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The BuShou of HanZi :囗

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The BuShou of HanZi :目

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The BuShou of HanZi :力

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The BuShou of HanZi :宀

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Representation theory: The Schur indicator

This is about the Schur indicator of a complex representation. It can be used to check whether an irreducible representation has in invariant bilinear form, and if so whether the form is symmetric or antisymmetric. As examples we check which representations of the dihedral group D8, the

From playlist Representation theory

Claude Lefèvre: Discrete Schur-constant models in inssurance

Abstract : This paper introduces a class of Schur-constant survival models, of dimension n, for arithmetic non-negative random variables. Such a model is defined through a univariate survival function that is shown to be n-monotone. Two general representations are obtained, by conditioning

From playlist Probability and Statistics

The BuShou of HanZi : 車

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The BuShou of HanZi :行

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RT4.2. Schur's Lemma (Expanded)

Representation Theory: We introduce Schur's Lemma for irreducible representations and apply it to our previous constructions. In particular, we identify Hom(V,V) with invariant sesquilinear forms on V when (pi, V) is unitary. Course materials, including problem sets and solutions, availa

From playlist Representation Theory

Schurs Exponent Conjecture by Viji Z. Thomas

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

RT8.1. Schur Orthogonality Relations

Representation Theory of Finite Groups: As a first step to Fourier analysis on finite groups, we state and prove the Schur Orthogonality Relations. With these relations, we may form an orthonormal basis of matrix coefficients for L^(G), the set of functions on G. We also define charac

From playlist *** The Good Stuff ***

How Coloring Triangles Revolutionized Mathematics [Schur's Theorem]

#some2 An explanation of Schur's Theorem and New Perspectives. This video was a submission to the Second Summer of Math Exposition. Also, apologies for the bad audio quality. SOURCES: MIT OCW 18.217: https://ocw.mit.edu/courses/18-217-graph-theory-and-additive-combinatorics-fall-2019/

From playlist Summer of Math Exposition 2 videos

Math 060 Fall 2017 112917C Spectral Theorem for Hermitian Matrices

Review: A Hermitian matrix with all distinct eigenvalues is unitarily diagonalizable. Statement of Spectral Theorem: Every Hernitian matrix is unitarily diagonalizable. Lemma: Schur's Theorem (every matrix is unitarily upper triangularizable). Inductive proof of Schur's theorem. Proof

From playlist Course 4: Linear Algebra (Fall 2017)

Alexander Moll: A new spectral theory for Schur polynomials and applications

Abstract: After Fourier series, the quantum Hopf-Burgers equation vt+vvx=0 with periodic boundary conditions is equivalent to a system of coupled quantum harmonic oscillators, which may be prepared in Glauber's coherent states as initial conditions. Sending the displacement of each oscilla

From playlist Combinatorics

The BuShou of HanZi :田

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Integrable Probablities - CEB T1 2017 - Alexey Bufetov and Vadim Gorin - 1/8

24 janvier 2017 2017 - T1 - Combinatorics and interactions - CEB Trimester Alexey Bufetov and Vadim Gorin (MIT) INTEGRABLE PROBABILITIES Keywords: random tilings; interacting particle systems; Schur and Macdonald processes; representations of "big" groups. Dates: Tuesdays 2-4pm (Jan

From playlist 2017 - T1 - Combinatorics and interactions - CEB Trimester