δ-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras

I. B. Kaygorodov

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δ-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras

机译：半简单有限维乔丹超代数的δ-超导

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摘要

In the paper, a complete description of the δ-derivations and the δ-superderivations of semisimple finite-dimensional Jordan superalgebras over an algebraically closed field of char acteristic p ≠ 2 is given. In particular, new examples of nontrivial (1/2)-derivations and odd (1/2)-superderivations are given that are not operators of right multiplication by an element of the superalgebra.

机译：在本文中，给出了特征p≠2的代数封闭域上半简单有限维Jordan超代数的δ导数和δ超导数的完整描述。特别是，给出了非平凡（1/2）导数和奇数（1/2）超导数的新示例，这些示例不是通过超级代数的元素进行右乘法的算子。

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来源
《Mathematical notes》 |2012年第2期|p.187-197|共11页
作者
I. B. Kaygorodov;
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作者单位

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences,Novosibirsk, Novosibirsk State University Universidade de Sao Paulo, Brazil;

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正文语种 eng
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关键词
semisimple finite-dimensional jordan superalgebra; δ-derivation; δ-superderiva tion; algebraically closed field;

机译：半简单的有限维约旦超代数;δ-导数δ-超导代数封闭场;

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2. ON δ-SUPERDERIVATIONS OF SIMPLE SUPERALGEBRAS OF JORDAN BRACKETS [J] . V. N. ZHELYABIN, I. B. KAYGORODOV St. Petersburg mathematical journal . 2012,第4期

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3. Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part [J] . Murakami L. S. I., Pchelintsev S. V., Shashkov O. V. Journal of Algebra . 2019,第期

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4. Super-Hopf realizations of Lie superalgebras.:Braided Paraparticle extensions of the Jordan-Schwinger map [C] . K. Kanakoglou, C. Daskaloyannis, A. Herrera-Aguilar Mexican School on Gravitation and Mathematical Physics . 2010

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δ-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras

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