Derivations of the even part of contact Lie superalgebra

Guan, Baoling; Chen, Liangyun

doi:10.1016/j.jpaa.2012.01.010

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…The eight families of finite-dimensional simple modular Lie superalgebras W, S, H, K, HO, KO, SHO, and SKO are discussed in [7][8][9][10][11]. The superderivation algebras, second cohomologies, filtrations, and representations of the eight families of finite-dimensional Cartan-type simple modular Lie superalgebras have also been investigated (see [11][12][13], for example).…”

Section: Introductionmentioning

confidence: 99%

A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

Xu,

Wang

2023

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Over a field of characteristic p>3, let KO(n,n+1;t̲) denote the odd contact Lie superalgebra. In this paper, the super-biderivations of odd Contact Lie superalgebra KO(n,n+1;t̲) are studied. Let TKO be a torus of KO(n,n+1;t̲), which is an abelian subalgebra of KO(n,n+1;t̲). By applying the weight space decomposition approach of KO(n,n+1;t̲) with respect to TKO, we show that all skew-symmetric super-biderivations of KO(n,n+1;t̲) are inner super-biderivations.

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Section: Introductionmentioning

confidence: 99%

A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

Xu,

Wang

2023

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“…And the contact Lie superalgebra K(m, n; t) is an important class of Cartan modular Lie superalgebras. There are many research results about the contact Lie superalgebra K(m, n; t), such as, derivation superalgebras [14][15][16] , noncontractible filtrations [17] , nondegenerate associative bilinear forms [18] .…”

Section: Introductionmentioning

confidence: 99%

Super-biderivations of the contact Lie superalgebra K(m,n;t¯)

Zhao

Chang

Zhou

et al. 2020

Communications in Algebra

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“…[12,13] respectively determine the derivations of the even parts and the derivations from the even parts into the odd parts for Lie superalgebras W and S of Cartan type. [14,15] respectively determine the derivations of the even parts and the derivations from the even parts into the odd parts for contact Lie superalgebras. The odd Z-homogeneous derivations and negative Z-homogeneous derivations from the even parts of Hamiltonian Lie superalgebras into the even parts of Witt Lie superalgebras [16] .…”

Section: Introductionmentioning

confidence: 99%

Derivations from the even parts into the odd parts for Hamiltonian superalgebras

Chang¹,

Chen²

2016

Preprint

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Let W 1 and H 0 denote the odd parts of the general Witt modular Lie superalgebra W and the even parts of the Hamiltonian Lie superalgebra H over a field of characteristic p > 3, respectively. We give a torus of H 0 and the weight space decomposition of the special subalgebra of W 1 with respect to the torus. By means of the derivations of the weight 0 and three series of outer derivations from H 0 into W 1 , the derivations from the even parts of Hamiltonian superalgebra to the odd parts of Witt superalgebra are determined.

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Derivations of the even part of contact Lie superalgebra

Cited by 5 publications

References 16 publications

A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

Super-biderivations of the contact Lie superalgebra K(m,n;t¯)

Derivations from the even parts into the odd parts for Hamiltonian superalgebras

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