Lie groups

Pin group

In mathematics, the pin group is a certain subgroup of the Clifford algebra associated to a quadratic space. It maps 2-to-1 to the orthogonal group, just as the spin group maps 2-to-1 to the special orthogonal group. In general the map from the Pin group to the orthogonal group is not surjective or a universal covering space, but if the quadratic form is definite (and dimension is greater than 2), it is both. The non-trivial element of the kernel is denoted which should not be confused with the orthogonal transform of reflection through the origin, generally denoted (Wikipedia).

Pin group
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Symmetric Groups (Abstract Algebra)

Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in

From playlist Abstract Algebra

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From playlist Group theory

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From playlist Visual Group Theory

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From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course

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The Special Linear Group is a Subgroup of the General Linear Group Proof

The Special Linear Group is a Subgroup of the General Linear Group Proof

From playlist Abstract Algebra

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Group Theory: The Center of a Group G is a Subgroup of G Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Theory: The Center of a Group G is a Subgroup of G Proof

From playlist Abstract Algebra

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In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el

From playlist Abstract algebra

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From playlist Abstract Algebra

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🔥Digital Marketing Masterclass: How to Test and Control Responsive Search Ads | 2023 | Simplilearn

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From playlist Simplilearn Live

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Arun Debray - Stable diffeomorphism classification of some unorientable 4-manifolds

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From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Homology cobordism and triangulations – Ciprian Manolescu – ICM2018

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From playlist Geometry

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Five Important Papers in Organic Synthesis (May 2022)

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From playlist Important Papers

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GROUP - a quick definition

A quick definition of groups on the periodic table. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation

From playlist Chemistry glossary

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How-To: Shrinkify Your Arduino Projects

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From playlist Hardware

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Bill Sempf -- Is locksport a sport?

All videos at: http://www.irongeek.com/i.php?page=videos/derbycon1/mainlist

From playlist DerbyCon 2011

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NOTACON 8: Is Locksport a Sport?

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From playlist Notacon 8

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Design Mobile Wallet App / Cryptocurrency Wallet Using Photoshop | Session 01 | #design

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From playlist Design Mobile Wallet App / Cryptocurrency Wallet Using Photoshop

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From playlist Payments

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What is Group Theory?

This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)

From playlist Summer of Math Exposition Youtube Videos

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How to make mathematical candy by Jean-Luc Thiffeault

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From playlist Summer Research Program on Dynamics of Complex Systems

Related pages

Clifford algebra | Rotation | Principal homogeneous space | Definite quadratic form | Group representation | Quadratic form | Spin group | Group homomorphism | Orthogonal group | Connected space | Dihedral group | Mathematics | Vector space | Projective orthogonal group | Reflection (mathematics) | Topological group | Cartan–Dieudonné theorem | Dicyclic group