Topology of Lie groups | Fourier analysis | Theta functions
In mathematics, the metaplectic group Mp2n is a double cover of the symplectic group Sp2n. It can be defined over either real or p-adic numbers. The construction covers more generally the case of an arbitrary local or finite field, and even the ring of adeles. The metaplectic group has a particularly significant infinite-dimensional linear representation, the Weil representation. It was used by André Weil to give a representation-theoretic interpretation of theta functions, and is important in the theory of modular forms of half-integral weight and the theta correspondence. (Wikipedia).
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From playlist Metacognition
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
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What is Metaphysics? - Gentleman Thinker
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On the formal degrees...metaplectic groups - Atsushi Ichino
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From playlist Mathematics
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Short Talks by Postdoctoral Members Topic: Whittaker functions and lattice models Speaker: Henrik Gustafsson Affiliation: Member, School of Mathematics Date: September 29, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
This lecture is part of an online graduate course on Lie groups. We define the exponential map for matrix groups and describe its basic properties. (We also sketch two ways to define it for general Lie groups.) We give an example to show that it need not be surjective even for connected g
From playlist Lie groups
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From playlist Abstract Algebra
Modular forms of half-integral weight on exceptional groups
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The Theta Correspondence Origins, Results, and Ramifications Part I
Professor Roger Howe, Texas A&M University, USA
From playlist Distinguished Visitors Lecture Series
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Erez Lapid Hebrew University of Jerusalem and Weizmann Institute of Science March 14, 2013 A few years ago Ichino-Ikeda formulated a quantitative version of the Gross-Prasad conjecture, modeled after the classical work of Waldspurger. This is a powerful local-to-global principle which is
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Marcela Hanzer: Adams’ conjecture on theta correspondence
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The Drinfeld-Sokolov reduction of admissible representations of affine Lie algebras - Gurbir Dhillon
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From playlist Mathematics
Definition of a group Lesson 24
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From playlist Abstract algebra
How to Count All the Objects in the Universe - Philosophy Tube
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From playlist METAPHYSICS
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From playlist Abstract algebra
Lie groups: Lie groups and Lie algebras
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Groups with bounded generation: properties and examples - Andrei S. Rapinchuk
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