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- Armand Borel

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
58
Citations
25,403
119
World Ranking
431
National Ranking
234

1987 - Member of the National Academy of Sciences

1978 - Brouwer Medal

- Algebra
- Pure mathematics
- Mathematical analysis

His primary areas of study are Algebra, Humanities, Pure mathematics, Group theory and Algebraic geometry. Many of his research projects under Algebra are closely connected to Elementary arithmetic with Elementary arithmetic, tying the diverse disciplines of science together. His study on Characteristic class is often connected to Homogeneous as part of broader study in Pure mathematics.

His biological study spans a wide range of topics, including Algebraic cycle, Function field of an algebraic variety, Representation theory and Real algebraic geometry. His work carried out in the field of Real algebraic geometry brings together such families of science as Algebraic surface, Reductive group, Borel subgroup and Dimension of an algebraic variety. The concepts of his Algebraic geometry study are interwoven with issues in Arithmetic function and Automorphic form.

- Linear algebraic groups (2267 citations)
- Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (1060 citations)
- Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts (930 citations)

Armand Borel spends much of his time researching Pure mathematics, Algebra, Lie group, Group theory and Simple Lie group. His work in Pure mathematics is not limited to one particular discipline; it also encompasses Topology. His Algebra research incorporates elements of Number theory and Algebra over a field.

Armand Borel interconnects Algebraic cycle and Representation theory in the investigation of issues within Group theory. His Simple Lie group study incorporates themes from Representation of a Lie group, Maximal torus and Killing form. His research in Group of Lie type intersects with topics in E8 and Algebraic group.

- Pure mathematics (47.01%)
- Algebra (21.64%)
- Lie group (11.19%)

- Pure mathematics (47.01%)
- Algebra (21.64%)
- Lie group (11.19%)

Armand Borel mainly focuses on Pure mathematics, Algebra, Lie group, Simple Lie group and Automorphic form. He connects Algebra with Local zeta-function in his research. The study incorporates disciplines such as Conjugacy class and Fundamental group in addition to Lie group.

Armand Borel has included themes like Real form, Representation theory, Lie theory and Killing form in his Simple Lie group study. His work deals with themes such as Group theory and Group of Lie type, which intersect with Representation theory. The Automorphic form study which covers Poincaré series that intersects with Cusp form.

- Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (1060 citations)
- Compactifications of Symmetric and Locally Symmetric Spaces (116 citations)
- Almost Commuting Elements in Compact Lie Groups (100 citations)

- Pure mathematics
- Algebra
- Mathematical analysis

Armand Borel mainly investigates Pure mathematics, Mathematical analysis, Triple system, Lie group and Symmetric space. His Mathematical analysis research includes themes of Automorphism, Combinatorics, Torus, Bibliography and Invariant. His Triple system study also includes fields such as

- Generalized flag variety, which have a strong connection to Topology,
- Compactification that connect with fields like Maximal compact subgroup.

Armand Borel combines subjects such as Freudenthal magic square, Killing form, Group theory, Reductive group and Real form with his study of Representation theory. His Freudenthal magic square research is classified as research in Algebra. With his scientific publications, his incorporates both Algebra and Mayer–Vietoris sequence.

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.

Linear algebraic groups

Armand Borel.

**(1991)**

3817 Citations

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

Armand Borel;Nolan R. Wallach.

**(1999)**

1550 Citations

Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts

Armand Borel.

Annals of Mathematics **(1953)**

1537 Citations

CHARACTERISTIC CLASSES AND HOMOGENEOUS SPACES, I.*

Friedrich Hirzebruch;Armand Borel.

American Journal of Mathematics **(1958)**

1312 Citations

Arithmetic subgroups of algebraic groups

Armand Borel;Harish-Chandra.

Annals of Mathematics **(1962)**

1089 Citations

Corners and arithmetic groups

A. Borel;J-P. Serre.

Commentarii Mathematici Helvetici **(1973)**

944 Citations

Seminar on transformation groups

Armand Borel;Glen E. Bredon.

**(1960)**

923 Citations

Stable real cohomology of arithmetic groups

Armand Borel.

Annales Scientifiques De L Ecole Normale Superieure **(1974)**

908 Citations

Compactification of Arithmetic Quotients of Bounded Symmetric Domains

W. L. Baily;A. Borel.

Annals of Mathematics **(1966)**

814 Citations

Seminar on Algebraic Groups and Related Finite Groups

A. Borel;R. Carter;C. W. Curtis;N. Iwahori.

**(1970)**

753 Citations

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