Simple vectorial Lie algebras in characteristic 2 and their superizations
S Bouarroudj, P Grozman, A Lebedev, D Leites… - … and Geometry: Methods …, 2020 - emis.de
We overview the classifications of simple finite-dimensional modular Lie algebras. In
characteristic 2, their list is wider than that in other characteristics; eg, it contains …
characteristic 2, their list is wider than that in other characteristics; eg, it contains …
Finite-dimensional special odd Hamiltonian superalgebras in prime characteristic
W Liu, Y He - Communications in Contemporary Mathematics, 2009 - World Scientific
In this paper, we study a new family of finite-dimensional simple Lie superalgebras of Cartan
type over a field of characteristic p> 3, the so-called special odd Hamiltonian superalgebras …
type over a field of characteristic p> 3, the so-called special odd Hamiltonian superalgebras …
New simple modular Lie superalgebras as generalized prolongs
S Bouarroudj, PY Grozman, DA Leites - Functional analysis and its …, 2008 - Springer
Over algebraically closed fields of characteristic p> 2,—prolongations of simple finite
dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain …
dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain …
Derivations of the even part of contact Lie superalgebra
B Guan, L Chen - Journal of Pure and Applied Algebra, 2012 - Elsevier
Let K and W denote the even parts of the contact Lie superalgebra and the generalized Witt
Lie superalgebra respectively. In the paper, the 1-cocycle of K with values in K-moduleW is …
Lie superalgebra respectively. In the paper, the 1-cocycle of K with values in K-moduleW is …
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras (with an Appendix by Andrey Krutov)
S Bouarroudj, P Grozman, A Lebedev… - … Integrability and Geometry …, 2023 - emis.de
Over algebraically closed fields of positive characteristic, for simple Lie (super) algebras,
and certain Lie (super) algebras close to simple ones, with symmetric root systems (such …
and certain Lie (super) algebras close to simple ones, with symmetric root systems (such …
Derivations of the even part of the odd Hamiltonian superalgebra in modular case
WD Liu, XY Hua, YC Su - Acta Mathematica Sinica, English Series, 2009 - Springer
In this paper we mainly study the derivations for even part of the finite-dimensional odd
Hamiltonian superalgebra HO over a field of prime characteristic. We first give the …
Hamiltonian superalgebra HO over a field of prime characteristic. We first give the …
Deformations of symmetric simple modular Lie (super) algebras
S Bouarroudj, P Grozman, D Leites - SIGMA. Symmetry, Integrability and …, 2023 - emis.de
We say that a Lie (super) algebra is''symmetric''if with every root (with respect to the maximal
torus) it has the opposite root of the same multiplicity. Over algebraically closed fields of …
torus) it has the opposite root of the same multiplicity. Over algebraically closed fields of …
Associative forms and second cohomologies of Lie superalgebras and
J Yuan, W Liu, W Bai - arXiv preprint arXiv:0911.3468, 2009 - arxiv.org
We consider two families of finite-dimensional simple Lie superalgebras of Cartan type,
denoted by HO and KO, over an algebraically closed field of characteristic p> 3. Using the …
denoted by HO and KO, over an algebraically closed field of characteristic p> 3. Using the …
Second cohomology of the modular Lie superalgebra of Cartan type K
W Xie, Y Zhang - Algebra Colloquium, 2009 - World Scientific
Second Cohomology of the Modular Lie Superalgebra of Cartan Type K Page 1 Algebra
Colloquium c© 2009 AMSS CAS & SUZHOU UNIV Algebra Colloquium 16 : 2 (2009) 309–324 …
Colloquium c© 2009 AMSS CAS & SUZHOU UNIV Algebra Colloquium 16 : 2 (2009) 309–324 …