Introduction to Quantum Groups and Algebras in Mathematics
Explore the philosophy of quantum groups, spaces, and algebras in mathematics. Learn about recovering spaces from their algebras, algebras of functions on groups, and the concept of a Hopf algebra. Discover how additional structures on spaces are captured through algebras of functions, and the role
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Algebraic Homomorphisms and Singular Transformations in Mathematics
An exploration of Cayley's theorem analog for groups in algebra, showcasing the isomorphism of algebras with unit elements over fields to subalgebras of some vector space. Additionally, a discussion on characterizing singular transformations in finite-dimensional vector spaces over fields. The expla
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Incorporating General Relativity into Quantum Theory through Riemannian Geometry
Framing Riemannian Geometry as a Generalized Lie Algebra to combine General Relativity with Quantum Theory. The proposal extends Heisenberg Algebra to incorporate a more general geometry, allowing for a function of position in commutator relationships. The discussion covers historical developments,
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