This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre
From playlist Lie groups
This lecture is part of an online graduate course on Lie groups. We define the Lie algebra of a Lie group in two ways, and show that it satisfied the Jacobi identity. The we calculate the Lie algebras of a few Lie groups. For the other lectures in the course see https://www.youtube.co
From playlist Lie groups
Lie groups: Lie groups and Lie algebras
This lecture is part of an online graduate course on Lie groups. We discuss the relation between Lie groups and Lie algebras, and give several examples showing how they behave differently. Lie algebras turn out to correspond more closely to the simply connected Lie groups. We then explain
From playlist Lie groups
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined In this lecture we define a "continuous groups" and show the connection between the algebraic properties of a group with topological properties. Please consider supporting this channel via Patreon: https://www.patreon.co
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 26: Review!
Lie Groups and Lie Algebras: Lesson 26: Review! It never hurts to recap! https://www.patreon.com/XYLYXYLYX
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group
Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group We cover a few concepts in this lecture: 1) we introduce the idea of a matrix representation using our super-simple example of a continuous group, 2) we discuss "connectedness" and explain tha
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 3 - Classical Groups Part I
Lie Groups and Lie Algebras: Lesson 3 - Classical Groups Part I We introduce the idea of the classical matrix groups and their associated carrier spaces. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators
Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators A Lie group can always be considered as a group of transformations because any group can transform itself! In this lecture we replace the "geometric space" with the Lie group itself to create a new collection of generators. P
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 42 Group Theory Review #1
Lie Groups and Lie Algebras: Lesson 42 Group Theory Review #1\ In order to push on with Lie Group Theory, it is reasonable to do a good review of group theory itself. This is the first lecture of such a review. A link to the Group Explorer: https://nathancarter.github.io/group-explorer/
From playlist Lie Groups and Lie Algebras
Averages from Frequency Tables (Estimated Mean, Median) - GCSE Maths Exam Questions
GCSE Averages from Frequency Tables maths exam question practice taken from past papers and practice papers. This video is suitable for both Foundation and Higher tier. Keywords: Average, mean, estimated mean, median, mode, range, frequency table, sum of frequencies Help revise for the 8
From playlist GCSE Maths Exam Question Compilations
Lie groups: Positive characteristic is weird
This lecture is part of an online graduate course on Lie groups. We give several examples to show that, over fields of positive characteristic, Lie algebras can behave strangely, and have a weaker connection to Lie groups. In particular the Lie algebra does not generate the ring of all in
From playlist Lie groups
Lie Groups and Lie Algebras: Lesson 21 - Factor Groups (OPTIONAL)
Lie Groups and Lie Algebras: Lesson 21 - Factor Groups (OPTIONAL) This is an elementary group theory review lesson focusing on the definition of a coset, the nature of invariant/normal subgroups and the construction of factor groups. This material will be important when we discuss, eventu
From playlist Lie Groups and Lie Algebras
24C3: Analysis of Sputnik Data from 23C3
Speaker: Tomasz Rybak Attempts to regenerate lost sequences In December 2006, in BCC 1000 attendees were wearing Sputnik Tags. Data was stored, and then made available for analysis. Unfortunately, all IDs of tags were lost. This lecture presents what was stored, what happened to it,
From playlist 24C3: Full steam ahead
Median & Median Class Interval of Frequency Tables
"Determine the median or median class interval from a frequency table."
From playlist Data Handling: Frequency Tables
Lie Groups and Lie Algebras: Lesson 43 Group Theory Review #2 (improved video quality)
Lie Groups and Lie Algebras: Lesson 43 Group Theory Review #2 In this lecture we examine a great way of becoming familiar with the smaller groups: the subgroup lattice. We use this to remind ourselves about normal subgroups, cyclic subgroups, and the center of a group. Errata!: The norma
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 2 - Quaternions
This video is about Lie Groups and Lie Algebras: Lesson 2 - Quaternions We study the algebraic nature of quaternions and cover the ideas of an algebra and a field. Later we will discover how quaternions fit into the description of the classical Lie Groups. NOTE: An astute viewer noted th
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 44 Group Theory Review #3 (corrected!)
Lie Groups and Lie Algebras: Lesson 44 Group Theory Review #3 This is a corrected version of a previous upload. In the earlier version I ridiculously stated that cyclic subgroups were normal. I don't know what came over me, that is certainly NOT true. What is true is that if a group is a
From playlist Lie Groups and Lie Algebras
Askold Khovanskii: Complex torus, its good compactifications and the ring of conditions
Abstract: Let X be an algebraic subvariety in (ℂ∗)n. According to the good compactifification theorem there is a complete toric variety M⊃(ℂ∗)n such that the closure of X in M does not intersect orbits in M of codimension bigger than dimℂX. All proofs of this theorem I met in literature ar
From playlist Algebraic and Complex Geometry
Lie Groups and Lie Algebras: Lesson 25 - the commutator and the Lie Algebra
Lie Groups and Lie Algebras: Lesson 25 - the commutator In this lecture we discover how to represent an infinitesimal commutator of the Lie group using a member of the Lie algebra. We promote the vector space spawned by the group generators to an algebra. Please consider supporting this
From playlist Lie Groups and Lie Algebras
How to Work Out ALL of the Averages from Frequency Tables | Grade 5 Series | GCSE Maths Tutor
A video revising the techniques and strategies for completing averages from frequency tables. (Higher & Foundation). This video is part of the Statistics module in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend 💎 Casio fx-8
From playlist GCSE Maths Videos