Alexander Premet

1.7k total citations
46 papers, 798 citations indexed

About

Alexander Premet is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alexander Premet has authored 46 papers receiving a total of 798 indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Mathematical Physics, 40 papers in Geometry and Topology and 34 papers in Algebra and Number Theory. Recurrent topics in Alexander Premet's work include Advanced Algebra and Geometry (38 papers), Advanced Topics in Algebra (34 papers) and Algebraic structures and combinatorial models (31 papers). Alexander Premet is often cited by papers focused on Advanced Algebra and Geometry (38 papers), Advanced Topics in Algebra (34 papers) and Algebraic structures and combinatorial models (31 papers). Alexander Premet collaborates with scholars based in United Kingdom, United States and Germany. Alexander Premet's co-authors include Helmut Strade, Serge Skryabin, Oksana Yakimova, Dmitri I. Panyushev, Alexander Kleshchev, Vyjayanthi Chari, Iain J. Gordon, Georgia Benkart, Tomoyuki Arakawa and B. Sury and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Alexander Premet

45 papers receiving 701 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alexander Premet United Kingdom 16 680 603 586 192 79 46 798
Raphaël Rouquier France 18 1.0k 1.5× 725 1.2× 549 0.9× 421 2.2× 146 1.8× 33 1.1k
N. Spaltenstein Switzerland 12 783 1.2× 789 1.3× 320 0.5× 356 1.9× 54 0.7× 26 926
Walter Borho Germany 13 617 0.9× 610 1.0× 554 0.9× 165 0.9× 46 0.6× 42 830
Dmitri I. Panyushev Russia 14 545 0.8× 524 0.9× 389 0.7× 203 1.1× 53 0.7× 81 658
Friedrich Knop United States 16 644 0.9× 559 0.9× 228 0.4× 218 1.1× 107 1.4× 43 767
Peter H. Kropholler United Kingdom 16 692 1.0× 534 0.9× 282 0.5× 259 1.3× 36 0.5× 52 816
V. Lakshmibai United States 14 703 1.0× 573 1.0× 331 0.6× 588 3.1× 70 0.9× 51 875
Aidan Schofield United Kingdom 13 611 0.9× 288 0.5× 480 0.8× 134 0.7× 146 1.8× 34 691
Richard Dipper Germany 17 1.2k 1.7× 797 1.3× 718 1.2× 741 3.9× 143 1.8× 39 1.3k
Edward Cline United States 16 1.1k 1.6× 719 1.2× 761 1.3× 332 1.7× 201 2.5× 26 1.2k

Countries citing papers authored by Alexander Premet

Since Specialization
Citations

This map shows the geographic impact of Alexander Premet'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 Alexander Premet with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Premet more than expected).

Fields of papers citing papers by Alexander Premet

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Premet. 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 Alexander Premet. The network helps show where Alexander Premet may publish in the future.

Co-authorship network of co-authors of Alexander Premet

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Premet. A scholar is included among the top collaborators of Alexander Premet 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 Alexander Premet. Alexander Premet is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Premet, Alexander. (2011). Enveloping algebras of Slodowy slices and Goldie rank. Transformation Groups. 16(3). 857–888. 7 indexed citations
2.
Premet, Alexander. (2010). Commutative quotients of finite W-algebras. Advances in Mathematics. 225(1). 269–306. 22 indexed citations
3.
Premet, Alexander & Helmut Strade. (2008). Simple Lie algebras of small characteristic VI. Completion of the classification. Journal of Algebra. 320(9). 3559–3604. 9 indexed citations
4.
Panyushev, Dmitri I., Alexander Premet, & Oksana Yakimova. (2007). On symmetric invariants of centralisers in reductive Lie algebras. Journal of Algebra. 313(1). 343–391. 30 indexed citations
5.
Premet, Alexander & Helmut Strade. (2007). Simple Lie algebras of small characteristic V. The non-Melikian case. Journal of Algebra. 314(2). 664–692. 2 indexed citations
6.
Premet, Alexander. (2007). Enveloping algebras of Slodowy slices and the Joseph ideal. Journal of the European Mathematical Society. 9(3). 487–543. 47 indexed citations
7.
Premet, Alexander, et al.. (2005). Zassenhaus varieties of general linear Lie algebras. Journal of Algebra. 294(1). 177–195. 14 indexed citations
8.
Premet, Alexander & Helmut Strade. (2004). Simple Lie algebras of small characteristic IV.. Journal of Algebra. 278(2). 766–833. 10 indexed citations
9.
Premet, Alexander. (2003). Nilpotent orbits in good characteristic and the Kempf–Rousseau theory. Journal of Algebra. 260(1). 338–366. 44 indexed citations
10.
Premet, Alexander. (2002). Special Transverse Slices and Their Enveloping Algebras. Advances in Mathematics. 170(1). 1–55. 111 indexed citations
11.
Premet, Alexander & Helmut Strade. (2001). Simple Lie Algebras of Small Characteristic. Journal of Algebra. 242(1). 236–337. 10 indexed citations
12.
Kleshchev, Alexander & Alexander Premet. (1999). The globally irreducible representations of symmetric groups. Proceedings of the American Mathematical Society. 128(3). 647–655. 2 indexed citations
13.
Premet, Alexander & Helmut Strade. (1999). Simple Lie Algebras of Small Characteristic II. Exceptional Roots. Journal of Algebra. 216(1). 190–301. 11 indexed citations
14.
Premet, Alexander & Helmut Strade. (1997). Simple Lie Algebras of Small Characteristic: I. Sandwich Elements. Journal of Algebra. 189(2). 419–480. 18 indexed citations
15.
Premet, Alexander. (1995). An analogue of the Jacobson-Morozov theorem for Lie algebras of reductive groups of good characteristics. Transactions of the American Mathematical Society. 347(8). 2961–2988. 14 indexed citations
16.
Premet, Alexander. (1995). An Analogue of the Jacobson-Morozov Theorem for Lie Algebras of Reductive Groups of Good Characteristics. Transactions of the American Mathematical Society. 347(8). 2961–2961. 3 indexed citations
17.
Chari, Vyjayanthi & Alexander Premet. (1994). Indecomposable Restricted Representations of Quantum $\textit{sl}_2$. Publications of the Research Institute for Mathematical Sciences. 30(2). 335–352. 13 indexed citations
18.
Premet, Alexander. (1994). A Generalization of Wilson′s Theorem on Cartan Subalgebras of Simple Lie Algebras. Journal of Algebra. 167(3). 641–703. 13 indexed citations
19.
Premet, Alexander, et al.. (1990). VARIETIES OF RESIDUALLY FINITE LIE ALGEBRAS. Mathematics of the USSR-Sbornik. 65(1). 109–118. 7 indexed citations
20.
Chernousov, Vladimir, Yuriy Drozd, Larisa Nazarova, et al.. (1986). Thirteen Papers in Algebra and Number Theory. 1 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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