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March 29, 2026Journal of Lie theoryOpen Access

Linear Commuting Maps and Biderivations on the Lie Algebras W(a,b)

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Authors

XHX. HanDWD. Y. WangCXC. Xia

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Overview

Reveals non-inner biderivations and non-standard linear commuting maps in Lie algebras W(a,b), suggesting new properties.

Key Points

  • The aim is to determine all skew-symmetric biderivations and linear commuting maps on the Lie algebra W(a, b).
  • Identify skew-symmetric biderivations of W(a, b)
  • Derive explicit forms of linear commuting maps
  • Analyze properties of non-inner biderivations
  • All skew-symmetric biderivations of W(a, b) were determined
  • Explicit forms of linear commuting maps are provided
  • Existence of non-inner biderivations and non-standard linear commuting maps for certain cases was established

Cite This Study

Han et al. (2016) studied this question.

synapsesocial.com/papers/69c8c115de0f0f753b39baf9https://doi.org/10.5802/jolt.912
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