Inner & Outer Semidirect Products Derivation - Group Theory
Semidirect products are a very important tool for studying groups because they allow us to break a group into smaller components using normal subgroups and complements! Here we describe a derivation for the idea of semidirect products and an explanation of how the map into the automorphism
From playlist Group Theory
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
Semirings that are finite and have infinity
Semirings. You can find the simple python script here: https://gist.github.com/Nikolaj-K/f036fd07991fce26274b5b6f15a6c032 Previous video: https://youtu.be/ws6vCT7ExTY
From playlist Algebra
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
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
Inner Semidirect Product Example: Dihedral Group
Semidirect products explanation: https://youtu.be/Pat5Qsmrdaw Semidirect products are very useful in group theory. To understand why, it's helpful to see an example. Here we show how to write the dihedral group D_2n as a semidirect product, and how we can describe that purely using cyclic
From playlist Group Theory
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
Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (No Remainder)
This video explains how to perform division using partial quotients. http://mathispower4u.com
From playlist Multiplying and Dividing Whole Numbers
Ex: Division Using Partial Quotient - Two Digit Divided by One Digit (No Remainder)
This video explains how to perform division using partial quotients. http://mathispower4u.com
From playlist Multiplying and Dividing Whole Numbers
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
In this video, we'll learn how to view a complex number as a 2x2 matrix with a special form. We'll also see that there is a matrix version for the number 1 and a matrix representation for the imaginary unit, i. Furthermore, the matrix representation for i has the defining feature of the im
From playlist Complex Numbers
Peter Scholze - 5/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 6/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 4/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 3/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 2/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
Peter Scholze - 1/6 On the local Langlands conjectures for reductive groups over p-adic fields
Hadamard Lectures 2017 Abstract: Consider a reductive group G over a p-adic field F. The local Langlands conjecture relates the irreducible smooth representations of G(F) with the set of (local) L-parameters, which are maps from the Weil group of F to the L-group of G; refinements of the
From playlist Hadamard Lectures 2017 - Peter Scholze - On the local Langlands conjectures for reductive groups over p-adic fields
TQFTs from non-semisimple modular categories and modified traces, Marco de Renzi, Lecture III
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
A graphical representation of cosets using Caley tables, gives us a deeper insight. In this video we explore two cases. In the first, the element of G that creates the coset of the subgroup is in the subgroup and in the second, it is not.
From playlist Abstract algebra