Gel'fand Dorfman superbialgebra, which is both a Lie superalgebra and a (left) Novikov superalgebra with some compatibility condition, appears in the study of Hamiltonian pairs in completely integrable systems and a class of special Lie conformal superalgebras called quadratic Lie conformal superalgebras. In the present paper, we generalize this algebraic structure to the Hom-conformal case. We introduce first, Hom-Novikov conformal superalgebras and exihibit several properties. Then we introduce Hom-Gel'fand Dorfman superbialgebra and provide some construction results.
Hom-Lie conformal superalgebra Hom-Gel’fand Dorfman conformal superbialgebra Hom-Novikov-Poisson superalgebra Hom-Novikov conformal superalgebra
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Erken Görünüm Tarihi | 15 Ağustos 2023 |
Yayımlanma Tarihi | 27 Haziran 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 53 Sayı: 3 |