Derivations of infinite-dimensional Lie superalgebras

Authors

  • D. I. Bezushchak Taras Shevchenko National University of Kyiv
  • O. O. Bezushchak Taras Shevchenko National University of Kyiv https://orcid.org/0000-0003-3654-6753

DOI:

https://doi.org/10.17721/1812-5409.2023/1.2

Keywords:

derivations, infinite-dimensional algebra, Lie superalgebra

Abstract

We study infinite-dimensional analogs of classical Lie superalgebras over an algebraically closed field F of zero characteristic. Let I be an infinite set. For an algebra M_∞ (I) of infinite I × I matrices over a ground field F having finitely many nonzero entries, we consider the related Lie superalgebra gl_∞ (I1, I2) and its commutator sl_∞ (I1, I2) for a disjoint union of nonempty subsets I1 and I2 of the set I; and we describe derivations of the Lie superalgebra sl_∞ (I1, I2).

Pages of the article in the issue: 21 - 25

Language of the article: English

References

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Published

2023-07-13

How to Cite

Bezushchak, D. I., & Bezushchak, O. O. (2023). Derivations of infinite-dimensional Lie superalgebras. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 21–25. https://doi.org/10.17721/1812-5409.2023/1.2

Issue

No. 1 (2023)

Section

Algebra, Geometry and Probability Theory

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Copyright (c) 2023 The Author(s)

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