Ordered smooth representation clustering

2019 ◽  
Vol 10 (11) ◽  
pp. 3301-3311
Author(s):  
Liping Chen ◽  
Gongde Guo
Keyword(s):  
Smooth Representation

scholarly journals Solving Eco-Driving Problems Using Indirect Collocation Method and Smooth Representation

2021 ◽  
Vol 5 (5) ◽  
pp. 1501-1506
Author(s):  
Daliang Shen ◽  
Dominik Karbowski ◽  
Aymeric Rousseau
Keyword(s):  
Collocation Method ◽  
Smooth Representation

scholarly journals Smooth representations of unit groups of split basic algebras over non-Archimedean local fields

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Carlos A. M. André ◽  
João Dias
Keyword(s):  
Local Field ◽  
Unit Group ◽  
Basic Algebra ◽  
Local Fields ◽  
Dimensional Representation ◽  
Smooth Representation ◽  
One Dimensional ◽  
Finite Dimensional

Abstract We consider smooth representations of the unit group G = A × G=\mathcal{A}^{\times} of a finite-dimensional split basic algebra 𝒜 over a non-Archimedean local field. In particular, we prove a version of Gutkin’s conjecture, namely, we prove that every irreducible smooth representation of 𝐺 is compactly induced by a one-dimensional representation of the unit group of some subalgebra of 𝒜. We also discuss admissibility and unitarisability of smooth representations of 𝐺.

scholarly journals Certain Types of Complex Lie Group Action

2018 ◽  
Vol 10 (3) ◽  
Author(s):  
Ahmed Khalaf Radhi ◽  
Taghreed Hur Majeed
Keyword(s):  
Tensor Product ◽  
Group Action ◽  
Lie Group ◽  
The Other ◽  
Smooth Representation ◽  
Equivalent Relation ◽  
Complex Group ◽  
Lie Group Action ◽  
Group 10 ◽  
Definition Of

     The main aim in this paper is to look for a novel action with new properties on       from the  , the Literature are concerned with studying the action of  of two representations , one is usual and the other is the dual, while our  interest in this work  is focused on some actions on complex Lie group[10] . Let G be a matrix complex  group , and  is representation of   In this study we will present and analytic  the  concepts of action of complex  group on    We recall the definition of  tensor  product of two representations of  group and construct  the definition of action of   group on , then by using the equivalent  relation   between  and  , we get a new action : The two actions are forming smooth  representation of    This  we have new action which called     denoted by    which acting on      This  is smooth representation of   The theoretical Justifications are developed and prove supported by some concluding  remarks and illustrations.

Smooth Representation Clustering

2014 ◽  
Author(s):  
Han Hu ◽  
Zhouchen Lin ◽  
Jianjiang Feng ◽  
Jie Zhou
Keyword(s):  
Smooth Representation

scholarly journals A Smooth Representation of Belief over SO(3) for Deep Rotation Learning with Uncertainty

2020 ◽  
Author(s):  
Valentin Peretroukhin ◽  
Matthew Giamou ◽  
W. Nicholas Greene ◽  
David Rosen ◽  
Jonathan Kelly ◽  
...  
Keyword(s):  
Smooth Representation

scholarly journals A Factorization Result for Classical and Similitude Groups

2018 ◽  
Vol 61 (1) ◽  
pp. 174-190 ◽  
Author(s):  
Alan Roche ◽  
C. Ryan Vinroot
Keyword(s):  
Classical Groups ◽  
Smooth Representation ◽  
Factorization Result

AbstractFor most classical and similitude groups, we show that each element can be written as a product of two transformations that preserve or almost preserve the underlying form and whose squares are certain scalar maps. This generalizes work of Wonenburger and Vinroot. As an application, we re-prove and slightly extend a well-known result of Mœglin, Vignéras, and Waldspurger on the existence of automorphisms of p-adic classical groups that take each irreducible smooth representation to its dual.

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