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The Mansions of Science

21st century math and physics.

Location New York Joined Joined on  Personal website https://www.youtube.com/@TheMansionsofScience
Conformal Transformations, 2-step Proof that Angles do not Change
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Conformal Transformations, 2-step Proof that Angles do not Change

#math #physics
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3 min read
Stabilizer Subgroups Leave Set Elements Unmoved
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Stabilizer Subgroups Leave Set Elements Unmoved

#math #physics
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2 min read
Coroots, Killing Form and Langlands Dual Group
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Coroots, Killing Form and Langlands Dual Group

#math #physics
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1 min read
Weights, Roots and Coweights of a Lie group
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Weights, Roots and Coweights of a Lie group

#math #physics
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2 min read
Unique Factorization Domains
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Unique Factorization Domains

#math #physics
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1 min read
The Failure of Prime Factorization
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The Failure of Prime Factorization

#math #physics
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1 min read
Definition of the Cartan Subalgebra
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Definition of the Cartan Subalgebra

#math #physics
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1 min read
Lie Algebra = Generators + Commutation Relations. That’s it.
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Lie Algebra = Generators + Commutation Relations. That’s it.

#math #physics
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1 min read
Bilinear Form = Function of 2 Vectors (That's it)
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Bilinear Form = Function of 2 Vectors (That's it)

#math #physics
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1 min read
Skyscraper Sheaf = Dirac Delta Function
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Skyscraper Sheaf = Dirac Delta Function

#math #physics
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1 min read
The Picard Group and Picard Variety
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The Picard Group and Picard Variety

#math #physics
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1 min read
Variety vs Manifold (2 Major Differences)
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Variety vs Manifold (2 Major Differences)

#math #physics
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1 min read
The Moduli Space of Elliptic Curves
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The Moduli Space of Elliptic Curves

#math #physics
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1 min read
What Is A Moduli Space?
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What Is A Moduli Space?

#math #physics
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1 min read
Learn Quantum Field Theory in 3.8 Minutes
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Learn Quantum Field Theory in 3.8 Minutes

#math #physics
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1 min read
A Lie Group is a Group + a Manifold - That's It
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A Lie Group is a Group + a Manifold - That's It

#math #physics
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1 min read
Visual Intuition for Differential Forms in 1.5 Minutes
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Visual Intuition for Differential Forms in 1.5 Minutes

#math #physics
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1 min read
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