Year: 2025
Type: preprint
Abstract: We show that there are no symmetric non-zero biderivations on perfect Lie algebras of finite dimension over a field of characteristic zero. We show that this is equivalent to show that every symmetric biderivation on a finite-dimensional perfect Lie algebra over such a field with values in a finite-dimensional module vanishes identically. This answers an open question posed by M. Bre\v{s}ar and K. Zhao.
Source: arXiv (Cornell University)
Authors: Bajo, Ignacio, Benayadi, Sa\"id, Oubba, Hassan
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979254222
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