Representation theory of groups
In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of finite groups entirely based on the characters, and without any explicit matrix realization of representations themselves. This is possible because a complex representation of a finite group is determined (up to isomorphism) by its character. The situation with representations over a field of positive characteristic, so-called "modular representations", is more delicate, but Richard Brauer developed a powerful theory of characters in this case as well. Many deep theorems on the structure of finite groups use characters of modular representations. (Wikipedia).
The Story of Chinese Character :身
身 depicts a whole human profile, emphasizes the human body.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character : 介
介 depicts a man standing between two walls, which has the meaning of ‘between’.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character :首
首 depicts a human head, such human head has long hair on its top and a big eye on its face, these two natures are the main distinctions of human beings from the other animals. Head is the most important part of a body, so we use 首 to describe something which is principal or prime.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character :立
立 depicts a man standing on the ground steadily, with confidence, thus develops the meaning of affirmation and sharpness(time).
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character : 犬
In modern Chinese language, 犬 has been replaced by another word 狗, hardly been used independently, only exists in idiom, while 犬(inu) is still being used in Japanese.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character : 女
女 is the picture of a woman, she lays her hands and sits solemnly, listens carefully what her husband says.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character :品
品 depicts three objects displayed on the ground, so they are easy to be compared and graded.Or, 品 is three mouth which like to critize.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character : 孝
孝 depicts an old man with long hair leaning against a young man(子), thus producing the meaning of respect to the elders.
From playlist The Story of HanZi (Chinese Characters)
The Story of Chinese Character : 恩
恩 is composed of and 因(a man stretching his limbs inside an enclosure, means cause or reason) and心(heart). Both favour and kindness are generated from heart, also has reason.
From playlist The Story of HanZi (Chinese Characters)
Mod-07 Lec-29 The Jaina Philosophy - I
Indian Philosophy by Dr. Satya Sundar Sethy, Department of Humanities and Social Sciences, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Madras: Introduction to Indian Philosophy | CosmoLearning.org Philosophy
Representation Theory(Repn Th) 1 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
CTNT 2022 - p-adic Fourier theory and applications (by Jeremy Teitelbaum)
This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - Conference lectures and special guest lectures
Representations of finite groups of Lie type (Lecture 1) 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 fun
From playlist Group Algebras, Representations And Computation
Nikita Nekrasov - Non-perturbative Dyson-Schwinger equations...
Nikita NEKRASOV (Simons Center for Geometry and Physics, Stony Brook, USA)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
"Introduction to p-adic harmonic analysis" James Arthur, University of Toronto [2008]
James Arthur, University of Toronto Introduction to harmonic analysis on p-adic groups Tuesday Aug 12, 2008 11:00 - 12:00 The stable trace formula, automorphic forms, and Galois representations Video taken from: http://www.birs.ca/events/2008/summer-schools/08ss045/videos/watch/200808121
From playlist Mathematics
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 2
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Representation theory: Introduction
This lecture is an introduction to representation theory of finite groups. We define linear and permutation representations, and give some examples for the icosahedral group. We then discuss the problem of writing a representation as a sum of smaller ones, which leads to the concept of irr
From playlist Representation theory
The Story of Chinese Character :比
比 depicts two men standing together, they compare with each other.
From playlist The Story of HanZi (Chinese Characters)
Representation Theory(Repn Th) 2 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods