Representation theory of groups

B-admissible representation

In mathematics, the formalism of B-admissible representations provides constructions of full Tannakian subcategories of the category of representations of a group G on finite-dimensional vector spaces over a given field E. In this theory, B is chosen to be a so-called (E, G)-regular ring, i.e. an E-algebra with an E-linear action of G satisfying certain conditions given below. This theory is most prominently used in p-adic Hodge theory to define important subcategories of p-adic Galois representations of the absolute Galois group of local and global fields. (Wikipedia).

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Multivariable system representation 2019-04-24

There are two main ways of representing Multivariable systems - state space and transfer function matrices.

From playlist Multivariable

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From playlist Representation theory

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Representation theory: Induced representations

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From playlist Representation theory

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From playlist Functions, Sets, and Relations

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Henniart: Classification des représentations admissibles irréductibles modulo p...

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From playlist Partial Differential Equations

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Introduction to p-adic Hodge theory (Lecture 2) by Denis Benois

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From playlist Perfectoid Spaces 2019

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10 Adjoint state method

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From playlist There and Back Again: A Tale of Slopes and Expectations (NeurIPS-2020 Tutorial)

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Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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From playlist Recent Developments Around P-adic Modular Forms (Online)

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Ahmed Abbes - The p-adic Simpson correspondence: Functoriality by proper direct image and (...)

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From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Ahmed Abbes - The p-adic Simpson correspondence: Functoriality by proper direct image and (...) 1/3

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From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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From playlist Dynamical Systems and Ordinary Differential Equations

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From playlist Mathematics

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From playlist Graph Theory

Related pages

Group representation | Vector space | Finite field | Frobenius endomorphism | Local field | Tensor product | Dual representation | Isomorphism | Group (mathematics) | Subobject | Filtration (mathematics) | Injective function | Quotient object | Characteristic (algebra) | Mathematics | Field (mathematics) | Global field | Equivalence of categories | Reduced ring | Absolute Galois group | Subcategory | Subgroup | Restriction (mathematics) | P-adic Hodge theory | Endomorphism | Module (mathematics) | Commutative ring