Automorphic forms | Langlands program | Representation theory
In mathematics, the Kirillov model, studied by Kirillov, is a realization of a representation of GL2 over a local field on a space of functions on the local field. If G is the algebraic group GL2 and F is a non-Archimedean local field,and τ is a fixed nontrivial character of the additive group of Fand π is an irreducible representation of G(F), then the Kirillov model for π is a representation π on a space of locally constant functions f on F* with compact support in F such that showed that an irreducible representation of dimension greater than 1 has an essentially unique Kirillov model. Over a local field, the space of functions with compact support in F* has codimension 0, 1, or 2 in the Kirillov model, depending on whether the irreducible representation is cuspidal, special, or principal. The Whittaker model can be constructed from the Kirillov model, by defining the image Wξ of a vector ξ of the Kirillov model by Wξ(g) = π(g)ξ(1) where π(g) is the image of g in the Kirillov model. defined the Kirillov model for the general linear group GLn using the mirabolic subgroup. More precisely, a Kirillov model for a representation of the general linear group is an embedding of it in the representation of the mirabolic group induced from a non-degenerate character of the group of upper triangular matrices. (Wikipedia).
From playlist Simulink Design Award: 2013 BEST Robotics
AWESOME EXPERIMENT Kirlian photography!!!
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From playlist ATOMIC PHYSICS
The present status of the DRESDYN project by Frank Stefani
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Space Power Stations, Robots, Space Life Structures: Future of Russian Space
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From playlist Russian Engineering
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From playlist NUCLEAR PHYSICS
Code Panoptic Image Segmentation w/ Vision Transformer & Mask2Former - A PyTorch tutorial
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From playlist NUCLEAR PHYSICS
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From playlist String Theory: Past and Present
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From playlist Technology
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From playlist Papers Explained
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From playlist Algebra
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Based on a model from the book "Making Heirloom Toys", by Jim Makowicki. I had to make a few adaptations. Free 3D model at https://skfb.ly/onxrZ.
From playlist Wooden Toys
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From playlist Mathematics
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From playlist Simulink Student Challenge 2012 Entries
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