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Derivations of the Schrödinger algebra and their applications

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Abstract

The Schrödinger algebra is a non-semisimple Lie algebra and plays an important role in mathematical physics and its applications. In this paper, all derivations of the Schrödinger algebra are determined. As applications, all biderivations, linear commuting maps and commutative post-Lie algebra structures on the Schrödinger algebra are obtained.

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Acknowledgements

We are very grateful to the referees for their valuable suggestions and comments. This work was supported in part by NSFC [Grant Number 11771069], NSF of Heilongjiang Province [Grant Number A2015007], and Fund of the Heilongjiang Education Committee [Grant Numbers 12531483 and HDJCCX-2016211].

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Authors and Affiliations

  1. Department of Mathematics, Heilongjiang University, Harbin, 150080, People’s Republic of China

    Yu Yang & Xiaomin Tang

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  1. Yu Yang
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  2. Xiaomin Tang
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Correspondence to Xiaomin Tang.

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Yang, Y., Tang, X. Derivations of the Schrödinger algebra and their applications. J. Appl. Math. Comput. 58, 567–576 (2018). https://doi.org/10.1007/s12190-017-1157-5

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  • DOI: https://doi.org/10.1007/s12190-017-1157-5

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