Friedrich Knop

2.1k total citations
43 papers, 767 citations indexed

About

Friedrich Knop is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Friedrich Knop has authored 43 papers receiving a total of 767 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 24 papers in Mathematical Physics and 24 papers in Algebra and Number Theory. Recurrent topics in Friedrich Knop's work include Algebraic Geometry and Number Theory (20 papers), Advanced Algebra and Geometry (19 papers) and Advanced Topics in Algebra (17 papers). Friedrich Knop is often cited by papers focused on Algebraic Geometry and Number Theory (20 papers), Advanced Algebra and Geometry (19 papers) and Advanced Topics in Algebra (17 papers). Friedrich Knop collaborates with scholars based in United States, Germany and Switzerland. Friedrich Knop's co-authors include Siddhartha Sahi, Herbert Lange, Peter Littelmann, Bernhard Krötz, Henrik Schlichtkrull, Michel Brion, Dong Youp Suh, Karl Heinz Dovermann and Amir H. Assadi and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Friedrich Knop

40 papers receiving 616 citations

Peers

Friedrich Knop

GT

MP

ANT

DMC

SNP

Dan Barbasch United States

Marvin I. Knopp United States

Toshiyuki Tanisaki Japan

Reyer Sjamaar United States

Paul Sally United States

Anne Schilling United States

Éric Vasserot France

Arkady Berenstein United States

Anthony Joseph Israel

Henrik Schlichtkrull Denmark

Dan Barbasch United States

Friedrich Knop

654 ×1.0

GT

751 ×1.3

MP

325 ×1.4

ANT

242 ×1.1

DMC

39 ×0.4

SNP

Citations per year, relative to Friedrich Knop Friedrich Knop (= 1×) peers Dan Barbasch

Countries citing papers authored by Friedrich Knop

Since Specialization

Citations

This map shows the geographic impact of Friedrich Knop's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Friedrich Knop with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Friedrich Knop more than expected).

Fields of papers citing papers by Friedrich Knop

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Friedrich Knop. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Friedrich Knop. The network helps show where Friedrich Knop may publish in the future.

Co-authorship network of co-authors of Friedrich Knop

This figure shows the co-authorship network connecting the top 25 collaborators of Friedrich Knop. A scholar is included among the top collaborators of Friedrich Knop based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Friedrich Knop. Friedrich Knop is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Knop, Friedrich. (2014). Spherical roots of spherical varieties. Annales de l’institut Fourier. 64(6). 2503–2526. 4 indexed citations

2.

Knop, Friedrich. (2007). Invariant functions on symplectic representations. Journal of Algebra. 313(1). 223–251. 4 indexed citations

3.

Knop, Friedrich. (2007). Tensor envelopes of regular categories. Advances in Mathematics. 214(2). 571–617. 18 indexed citations

4.

Knop, Friedrich. (2006). A construction of semisimple tensor categories. Comptes Rendus Mathématique. 343(1). 15–18. 9 indexed citations

5.

Knop, Friedrich. (2006). Graded cofinite rings of differential operators. The Michigan Mathematical Journal. 54(1). 1 indexed citations

6.

Knop, Friedrich. (2005). Classification of multiplicity free symplectic representations. Journal of Algebra. 301(2). 531–553. 5 indexed citations

7.

Knop, Friedrich. (2005). On the Kazhdan-Lusztig basis of a spherical Hecke algebra. Representation Theory of the American Mathematical Society. 9(14). 417–425. 6 indexed citations

8.

Knop, Friedrich. (2003). Combinatorics and invariant differential operators on multiplicity free spaces. Journal of Algebra. 260(1). 194–229. 1 indexed citations

9.

Knop, Friedrich. (2001). Combinatorics and invariant theory of multiplicity free spaces. arXiv (Cornell University). 2 indexed citations

10.

Knop, Friedrich. (1997). Symmetric and non-symmetric quantum Capelli polynomials. Commentarii Mathematici Helvetici. 72(1). 84–100. 43 indexed citations

11.

Knop, Friedrich. (1997). Integrality of two variable Kostka functions.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1997(482). 177–190. 41 indexed citations

12.

Knop, Friedrich. (1995). Homogeneous varieties for semisimple groups of rank one. Compositio Mathematica. 98(1). 77–89. 2 indexed citations

13.

Knop, Friedrich. (1995). On the set of orbits for a Borel subgroup. Commentarii Mathematici Helvetici. 70(1). 285–309. 46 indexed citations

14.

Brion, Michel & Friedrich Knop. (1994). Contractions and flips for varieties with group action of small complexity. Journal of mathematical sciences. 1(3). 641–655. 5 indexed citations

15.

Knop, Friedrich. (1994). A Harish-Chandra Homomorphism for Reductive Group Actions. Annals of Mathematics. 140(2). 253–253. 48 indexed citations

16.

Knop, Friedrich. (1994). The asymptotic behavior of invariant collective motion. Inventiones mathematicae. 116(1). 309–328. 43 indexed citations

17.

Knop, Friedrich. (1993). Über Hilberts vierzehntes problem für varietäten mit kompliziertheit eins. Mathematische Zeitschrift. 213(1). 33–36. 17 indexed citations

18.

Dovermann, Karl Heinz, Friedrich Knop, & Dong Youp Suh. (1991). Topological invariants of real algebraic actions. Topology and its Applications. 40(2). 171–188. 5 indexed citations

19.

Knop, Friedrich. (1989). Der kanonische modul eines invariantenrings. Journal of Algebra. 127(1). 40–54. 23 indexed citations

20.

Knop, Friedrich & Herbert Lange. (1985). Some remarks on compactifications of commutative algebraic groups. Commentarii Mathematici Helvetici. 60(1). 497–507. 8 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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