Clifford algebra

Related lectures (13)

Explores AI4Science at Microsoft, focusing on catalyst design, reaction mechanisms, and material discovery using Clifford algebra.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers measurability, independence of sets, sigma-algebras, cylinder sets, co-algebras, uniqueness, and extension of measures.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Covers the stabilizer formalism and fault tolerance in quantum error correction.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Explores fault-tolerant quantum computing, covering fault tolerance, stabilizer codes, error propagation, and transversal gates.

Explores toy models, sigma-algebras, T-valued random variables, measures, and independence in probability theory.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.

Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.

Explains bases and dimension in vector spaces, covering generative and free families, isomorphism, and key theorems.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

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