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Volume 35, Issue 4
A Matrix Representation of Outer Derivations from $\frak{gl}_{0|2}$ to the Generalized Witt Lie Superalgebra

Keli Zheng

DOI: 10.13447/j.1674-5647.2019.04.09

Commun. Math. Res., 35 (2019), pp. 367-376.

Published online: 2019-12

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  • Abstract

Let $\frak{gl}_{0|2}$ be a subalgebra of the general linear Lie superalgebra. In this paper, outer derivations from $\frak{gl}_{0|2}$ to the generalized Witt Lie superalgebra are completely determined by matrices.

  • Keywords

outer derivation, inner derivation, matrix representation, generalized Witt Lie superalgebra.

  • AMS Subject Headings

17B40, 17B05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

Zhengkl@nefu.edu.cn (Keli Zheng)

  • BibTex
  • RIS
  • TXT
@Article{CMR-35-367, author = {Zheng , Keli}, title = {A Matrix Representation of Outer Derivations from $\frak{gl}_{0|2}$ to the Generalized Witt Lie Superalgebra}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {4}, pages = {367--376}, abstract = {

Let $\frak{gl}_{0|2}$ be a subalgebra of the general linear Lie superalgebra. In this paper, outer derivations from $\frak{gl}_{0|2}$ to the generalized Witt Lie superalgebra are completely determined by matrices.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.09}, url = {http://global-sci.org/intro/article_detail/cmr/13557.html} }
TY - JOUR T1 - A Matrix Representation of Outer Derivations from $\frak{gl}_{0|2}$ to the Generalized Witt Lie Superalgebra AU - Zheng , Keli JO - Communications in Mathematical Research VL - 4 SP - 367 EP - 376 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.04.09 UR - https://global-sci.org/intro/article_detail/cmr/13557.html KW - outer derivation, inner derivation, matrix representation, generalized Witt Lie superalgebra. AB -

Let $\frak{gl}_{0|2}$ be a subalgebra of the general linear Lie superalgebra. In this paper, outer derivations from $\frak{gl}_{0|2}$ to the generalized Witt Lie superalgebra are completely determined by matrices.

Zheng , Keli. (2019). A Matrix Representation of Outer Derivations from $\frak{gl}_{0|2}$ to the Generalized Witt Lie Superalgebra. Communications in Mathematical Research . 35 (4). 367-376. doi:10.13447/j.1674-5647.2019.04.09
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