Kurzusok
| Tantárgy neve | Kurzus kód |
|---|---|
| Algebra 1 | BMETE91AM38/TV |
| Algebra 1 | BMETE91AM38/AV |
| Csoportelmélet | BMETE91MM03/T0 |
| Csoportelmélet | BMETE91MM03/T1 |
| Felsőbb matematika villamosmérnököknek - Haladó lineáris algebra | BMETE90MX54/V5 |
Oktatás
Autumn 2023 Vector and Matrix Algebra Quickies #1-8.
2024. tavasz Csoportelmélet feladatsor.
Spring 2024 Introduction to Algebra 2 topics for the exam.
Autumn 2023 Vector and Matrix Algebra topics for the exam.
Autumn 2023 Algebra 1 topics for the exam.
Spring 2023 Introduction to Algebra 2 topics for the exam.
2023. tavasz Reprezentáció Elmélet feladatok, Representation Theory problems.
Autumn 2022 Introduction to Algebra 1 Example Sheets 1 2 3 4 5 6 7 8 9 10 11 12 Extra Sheets 1 2 3. Topics for the exam.
Autumn 2022 Algebra 2 exercises. Topics for the exam.
2022. tavasz Csoportelmélet feladatok, Group Theory problems. A feladatsorokból beadandó feladatok/The required exercises from the example sheets: 1/9, 2/6, 3/6, 4/8, 5/6, 6/5, 7/5, 8/5.
2021. őszi Algebra 1 tematika
2021. őszi Algebrai Kombinatorika végleges feladatsor
Autumn 2021 Algebra1 topics
Autumn 2021 Algebra Final solutions of the problems
Kutatás
Véges csoportok reprezentációelmélete / Representation Theory of Finite Groups
Algebrai Kombinatorika / Algebraic Combinatorics
Véges és végtelen csoportelmélet / Group Theory (finite and infinite)
Algebrai kódelmélet, kriptográfia / Algebraic Coding Theory, Cryptography
Algebrai deriválások / Algebraic Derivations
Algebra
Kiemelt publikációk
Pál Hegedüs. Gelfand pairs for affine Weyl groups. ADV. GROUP THEORY APPL. 16, 91-108, 2023. Link
Márton Erdélyi; Pál Hegedüs; Sándor Kiss; Gábor Nagy. On Linear Codes with Random Multiplier Vectors and the Maximum Trace Dimension Property. https://doi.org/10.1515/jmc-2023-0022
Ron Adin; Pál Hegedüs and Yuval Roichman. Higher Lie characters and root enumeration in classical Weyl groups. ArXiV
Ron Adin; Pál Hegedüs and Yuval Roichman. Higher Lie characters and cyclic descent extension on conjugacy classes. ALGEBR. COMB. 6, No. 6, 1557-1591, 2023. https://doi.org/10.5802/alco.323
Ron Adin, Pál Hegedüs and Yuval Roichman. Combinatorial flip actions and Gelfand pairs for affine Weyl groups. JOURNAL OF ALGEBRA, 607(A):5-33, 2022. https://doi.org/10.1016/j.jalgebra.2021.10.034
Ivan Andrus, Pál Hegedűs, and Tetsuro Okuyama. Transposable character tables and group duality. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 157:31–44, 2014. https://doi.org/10.1017%2FS0305004114000218
Tuǧba Aslan and Pál Hegedűs. Maximal deviation of large powers in the Nottingham group. JOURNAL OF GROUP THEORY, 22:397–418, 2019. https://doi.org/10.1515%2Fjgth-2018-0133
Károly (Ifj.) Böröczky and Pál Hegedűs. The cone volume measure of antipodal points. ACTA MATHEMATICA HUNGARICA, 146:449–465, 2015. https://doi.org/10.1007%2Fs10474-015-0511-z
Károly (Ifj.) Böröczky, Pál Hegedűs, and G Zhu. On the discrete logarithmic Minkowski problem. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016:1807–1838, 2016. https://doi.org/10.1093%2Fimrn%2Frnv189
Trevor Chimpinde and Pál Hegedűs. When every irreducible character is a constituent of a primitive permutation character. PUBLICATIONES MATHEMATICAE DEBRECEN, 92:217–221, 2018. https://doi.org/10.5486%2FPMD.2018.7942
Pál Hegedűs. Regular subgroups of the affine group. JOURNAL OF ALGEBRA, 225:740– 742, 2000. https://doi.org/10.1006%2Fjabr.1999.8176
Pál Hegedűs. The Nottingham group for p=2. JOURNAL OF ALGEBRA, 246:55–69, 2001. https://doi.org/10.1006%2Fjabr.2001.8948
Pál Hegedűs. Structure of solvable rational groups. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 90:439–471, 2005. https://doi.org/10.1112%2FS0024611504015035
Pál Hegedűs, Attila Maróti, and László Pyber. Finite groups with large Noether number are almost cyclic. ANNALES DE L INSTITUT FOURIER, 69:1739–1756, 2019. https://doi.org/10.5802%2Faif.3280
Pál Hegedűs and Janusz Zielinski. The constants of Lotka-Volterra derivations. EUROPEAN JOURNAL OF MATHEMATICS, 2:544–564, 2016. https://doi.org/10.1007%2Fs40879-015-0091-z