D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 3,735 117 World Ranking 2725 National Ranking 162

Overview

What is he best known for?

The fields of study Fritz Grunewald is best known for:

  • Lie conformal algebra
  • Adjoint representation of a Lie algebra
  • Lie algebra

His Pure mathematics study frequently draws connections between related disciplines such as Cohomology. Cohomology is closely attributed to Pure mathematics in his study. His study on Algebra over a field is mostly dedicated to connecting different topics, such as Lie conformal algebra. His Lie conformal algebra study frequently draws connections to adjacent fields such as Algebra over a field. His research brings together the fields of Artificial intelligence and Class (philosophy). Artificial intelligence is frequently linked to Class (philosophy) in his study. He performs multidisciplinary studies into Lie algebra and Adjoint representation of a Lie algebra in his work. In his research, Fritz Grunewald undertakes multidisciplinary study on Adjoint representation of a Lie algebra and Lie algebra. His Galois cohomology research extends to the thematically linked field of Galois group.

His most cited work include:

  • Modules for certain Lie algebras of maximal class (54 citations)
  • Cohomological goodness and the profinite completion of Bianchi groups (40 citations)

What are the main themes of his work throughout his whole career to date

His research investigates the connection between PSL and topics such as Combinatorics that intersect with issues in SL2(R). Many of his studies on SL2(R) involve topics that are commonly interrelated, such as Combinatorics. His Pure mathematics study frequently involves adjacent topics like Cohomology. His Cohomology study frequently draws connections between adjacent fields such as Pure mathematics. His study in Clifford algebra extends to Algebra over a field with its themes. His Clifford algebra study typically links adjacent topics like Algebra over a field. He merges Geometry with Congruence (geometry) in his research. He performs multidisciplinary studies into Congruence (geometry) and Geometry in his work. His study deals with a combination of Lie algebra and Lie conformal algebra.

Fritz Grunewald most often published in these fields:

  • Pure mathematics (100.00%)
  • Algebra over a field (66.67%)
  • Combinatorics (33.33%)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Groups Acting on Hyperbolic Space

Jürgen Elstrodt;Fritz Grunewald;Jens Mennicke.
(1998)

394 Citations

Subgroups of finite index in nilpotent groups

F. J. Grunewald;D. Segal;G. C. Smith.
Inventiones Mathematicae (1988)

221 Citations

Varieties of nilpotent Lie algebras of dimension less than six

Fritz Grunewald;Joyce O'Halloran.
Journal of Algebra (1988)

184 Citations

Analytic properties of zeta functions and subgroup growth

Marcus du Sautoy;Fritz Grunewald.
Annals of Mathematics (2000)

180 Citations

Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory

Jürgen Elstrodt;F. Grunewald;J. L. Mennicke.
(1997)

174 Citations

Some general algorithms. I: Arithmetic groups

Fritz Grunewald;Daniel Segal.
Annals of Mathematics (1980)

119 Citations

Zeta functions of groups and rings

Marcus du Sautoy;Fritz Grunewald.
(2008)

117 Citations

Beauville surfaces without real structures

Ingrid Bauer;Fabrizio Catanese;Fritz Grunewald.
arXiv: Algebraic Geometry (2005)

111 Citations

Linear Representations of the Automorphism Group of a Free Group

Fritz Grunewald;Alexander Lubotzky.
Geometric and Functional Analysis (2009)

107 Citations

A characterization of orbit closure and applications

Fritz Grunewald;Joyce O'Halloran.
Journal of Algebra (1988)

107 Citations

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Best Scientists Citing Fritz Grunewald

Fabrizio Catanese

Fabrizio Catanese

University of Bayreuth

Publications: 25

Alexander Lubotzky

Alexander Lubotzky

Hebrew University of Jerusalem

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Gareth Jones

Gareth Jones

University of Bristol

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Robert M. Guralnick

Robert M. Guralnick

University of Southern California

Publications: 8

Peter Sarnak

Peter Sarnak

Princeton University

Publications: 7

Gilbert Baumslag

Gilbert Baumslag

City College of New York

Publications: 7

Eduard Looijenga

Eduard Looijenga

Utrecht University

Publications: 5

Palle E. T. Jorgensen

Palle E. T. Jorgensen

University of Iowa

Publications: 4

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