Concept

Induced representation

Related lectures (12)

Poincaré Irreps 2: Little Group and Induced Representation

Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.

Group Presentation of S3

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Analysis of Geographic Information: GeoDa

Covers the main functions of the GeoDa software for exploratory analysis.

Phase Plan: Trajectories and Isoclines

Explores trajectories and isoclines in mechanical systems using phase plans and different representation methods.

Variational Auto-Encoders and NVIB

Explores Variational Auto-Encoders, Bayesian inference, attention-based latent spaces, and the effectiveness of Transformers in language processing.

Adelic Number Theory

Covers adelic number theory, focusing on properties of maximal open compact subrings and constructions of adelic spaces.

Spinorial Representations of Lorentz Group

Explores spinorial representations of the Lorentz group and the transformation of fields under Lorentz, emphasizing a constructive approach towards spinors.

Group representations constructions

Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

Fundamental Group of a Product

Covers the calculation of the fundamental group of a product using small spaces and compositions.

Interpreter: Arithmetic Expressions

Covers a simple functional language, abstract syntax trees, interpreting expressions, and desugaring.

Equivariant Structural Representations

Explores equivariant structural representations in atomistic machine learning, emphasizing the importance of representing target properties in the spherical basis.

Signal Representations

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.