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Symmetry Breaking for Representations of Rank One Orthogonal Groups II

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Cover of 'Symmetry Breaking for Representations of Rank One Orthogonal Groups II'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Review of Principal Series Representations
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    Chapter 3 Symmetry Breaking Operators for Principal Series Representations—General Theory
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    Chapter 4 Symmetry Breaking for Irreducible Representations with Infinitesimal Character ρ
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    Chapter 5 Regular Symmetry Breaking Operators
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    Chapter 6 Differential Symmetry Breaking Operators
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    Chapter 7 Minor Summation Formulæ Related to Exterior Tensor $$\begin{array}{lll}\bigwedge^i\;(\mathbb{C}^n)\end{array}$$
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    Chapter 8 The Knapp–Stein Intertwining Operators Revisited: Renormalization and K -spectrum
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    Chapter 9 Regular Symmetry Breaking Operators 𝔸 ˜ λ , ν , δ ε i , j $${\widetilde {\mathbb {A}}}_{{\lambda },{\nu },{\delta \varepsilon }}^{{i,j}}$$ from I δ ( i , λ ) to J ε ( j , ν )
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    Chapter 10 Symmetry Breaking Operators for Irreducible Representations with Infinitesimal Character ρ : Proof of Theorems4.1 and 4.2
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    Chapter 11 Application I: Some Conjectures by B. Gross and D. Prasad: Restrictions of Tempered Representations of SO ( n  + 1,  1) to SO ( n ,  1)
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    Chapter 12 Application II: Periods, Distinguished Representations and ( g , K ) $$(\mathfrak {g},K)$$ -cohomologies
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    Chapter 13 A Conjecture: Symmetry Breaking for Irreducible Representations with Regular Integral Infinitesimal Character
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    Chapter 14 Appendix I: Irreducible Representations of G  =  O ( n  + 1, 1), θ -stable Parameters, and Cohomological Induction
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    Chapter 15 Appendix II: Restriction to G ¯ = S O ( n + 1 , 1 ) $$\overline G=SO(n+1,1)$$
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    Chapter 16 Appendix III: A Translation Functor for G  =  O ( n  + 1, 1)
Overall attention for this book and its chapters
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  • High Attention Score compared to outputs of the same age and source (85th percentile)

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Title
Symmetry Breaking for Representations of Rank One Orthogonal Groups II
Published by
arXiv, February 2019
DOI 10.1007/978-981-13-2901-2
ISBNs
978-9-81-132900-5, 978-9-81-132901-2
Authors

Toshiyuki Kobayashi, Birgit Speh, Kobayashi, Toshiyuki, Speh, Birgit

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 Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 6. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 05 November 2019.
All research outputs
#6,412,230
of 24,993,752 outputs
Outputs from arXiv
#123,477
of 1,019,130 outputs
Outputs of similar age
#112,956
of 358,859 outputs
Outputs of similar age from arXiv
#3,259
of 23,206 outputs
Altmetric has tracked 24,993,752 research outputs across all sources so far. This one has received more attention than most of these and is in the 74th percentile.
So far Altmetric has tracked 1,019,130 research outputs from this source. They receive a mean Attention Score of 4.1. This one has done well, scoring higher than 87% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 358,859 tracked outputs that were published within six weeks on either side of this one in any source. This one has gotten more attention than average, scoring higher than 68% of its contemporaries.
We're also able to compare this research output to 23,206 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 85% of its contemporaries.

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