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Lie Groups

Overview of attention for book
Lie Groups
Springer New York

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Haar Measure
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    Chapter 2 Schur Orthogonality
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    Chapter 3 Compact Operators
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    Chapter 4 The Peter-Weyl Theorem
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    Chapter 5 Lie Subgroups of GL( n , ℂ)
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    Chapter 6 Vector Fields
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    Chapter 7 Left-Invariant Vector Fields
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    Chapter 8 The Exponential Map
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    Chapter 9 Tensors and Universal Properties
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    Chapter 10 The Universal Enveloping Algebra
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    Chapter 11 Extension of Scalars
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    Chapter 12 Representations of sl (2, ℂ)
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    Chapter 13 The Universal Cover
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    Chapter 14 The Local Frobenius Theorem
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    Chapter 15 Tori
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    Chapter 16 Geodesics and Maximal Tori
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    Chapter 17 Topological Proof of Cartan’s Theorem
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    Chapter 18 The Weyl Integration Formula
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    Chapter 19 The Root System
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    Chapter 20 Examples of Root Systems
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    Chapter 21 Abstract Weyl Groups
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    Chapter 22 The Fundamental Group
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    Chapter 23 Semisimple Compact Groups
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    Chapter 24 Highest-Weight Vectors
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    Chapter 25 The Weyl Character Formula
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    Chapter 26 Spin
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    Chapter 27 Complexification
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    Chapter 28 Coxeter Groups
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    Chapter 29 The Iwasawa Decomposition
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    Chapter 30 The Bruhat Decomposition
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    Chapter 31 Symmetric Spaces
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    Chapter 32 Relative Root Systems
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    Chapter 33 Embeddings of Lie Groups
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    Chapter 34 Mackey Theory
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    Chapter 35 Characters of GL( n , ℂ)
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    Chapter 36 Duality between S k and GL( n , ℂ)
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    Chapter 37 The Jacobi-Trudi Identity
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    Chapter 38 Schur Polynomials and GL( n , ℂ)
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    Chapter 39 Schur Polynomials and S k
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    Chapter 40 Random Matrix Theory
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    Chapter 41 Minors of Toeplitz Matrices
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    Chapter 42 Branching Formulae and Tableaux
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    Chapter 43 The Cauchy Identity
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    Chapter 44 Unitary Branching Rules
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    Chapter 45 The Involution Model for S k
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    Chapter 46 Some Symmetric Algebras
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    Chapter 47 Gelfand Pairs
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    Chapter 48 Hecke Algebras
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    Chapter 49 The Philosophy of Cusp Forms
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    Chapter 50 Cohomology of Grassmannians
Overall attention for this book and its chapters
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (89th percentile)

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Title
Lie Groups
Published by
Graduate Texts in Mathematics, January 2004
DOI 10.1007/978-1-4757-4094-3
ISBNs
978-1-4419-1937-3, 978-1-4757-4094-3
Authors

Daniel Bump, Bump, Daniel

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Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 8. 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 22 January 2022.
All research outputs
#4,804,523
of 26,338,415 outputs
Outputs from Graduate Texts in Mathematics
#55
of 148 outputs
Outputs of similar age
#15,232
of 146,706 outputs
Outputs of similar age from Graduate Texts in Mathematics
#1
of 1 outputs
Altmetric has tracked 26,338,415 research outputs across all sources so far. Compared to these this one has done well and is in the 81st percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 148 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 11.9. This one has gotten more attention than average, scoring higher than 62% 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 146,706 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 89% of its contemporaries.
We're also able to compare this research output to 1 others from the same source and published within six weeks on either side of this one. This one has scored higher than all of them