Double Lie algebras of a nonzero weight
نویسندگان
چکیده
We introduce the notion of λ-double Lie algebra, which coincides with usual double algebra when λ=0. show that every for λ≠0 provides structure modified Poisson on free associative algebra. In particular, it confirms conjecture S. Arthamonov (2017). prove there are no simple finite-dimensional algebras.
منابع مشابه
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108680