On restricted simple modules of contact Lie superalgebras of odd type
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600478
Abstract: For contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3, the composition factors of Kac modules and the character formulas for all the restricted simple modules are explicitly determined. And… read more here.
Keywords: lie superalgebras; odd type; restricted simple; superalgebras odd ... See more keywords
Symmetries of M-theory and free Lie superalgebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2019)160
Abstract: A bstractWe study systematically various extensions of the Poincaré superalgebra. The most general structure starting from a set of spinorial supercharges Qα is a free Lie superalgebra that we discuss in detail. We explain how… read more here.
Keywords: theory free; lie superalgebras; symmetries theory; lie ... See more keywords
On Polynomial Representations of Strange Lie Superalgebras P(n)
Sign Up to like & getrecommendations! Published in 2020 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-020-09989-3
Abstract: In this paper, both canonical and noncanonical polynomial representations of strange classical Lie superalgebra P(n) are investigated. It turns out all these representations are undecomposable, and their composition series are obtained. read more here.
Keywords: strange lie; polynomial representations; lie superalgebras; representations strange ... See more keywords
The Roots of Exceptional Modular Lie Superalgebras with Cartan Matrix
Sign Up to like & getrecommendations! Published in 2019 at "Arnold Mathematical Journal"
DOI: 10.1007/s40598-020-00135-x
Abstract: For each of the exceptional (not entering infinite series) finite-dimensional modular Lie superalgebras with indecomposable Cartan matrix, we give the explicit list of its roots, and the corresponding Chevalley basis, for one of its inequivalent… read more here.
Keywords: modular lie; lie superalgebras; lie; roots exceptional ... See more keywords
Affine Lie superalgebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2020.10.039
Abstract: Abstract In 1986, Van de Leur introduced and classified affine Lie superalgebras. An affine Lie superalgebra is defined as the quotient of certain Lie superalgebra G defined by generators and relations, corresponding to a symmetrizable… read more here.
Keywords: lie super; lie superalgebras; affine lie; lie ... See more keywords
Universal central extensions of current Lie superalgebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.106205
Abstract: Abstract We identify the universal central extension of g = A ⊗ k , where k is a finite dimensional perfect Lie superalgebra equipped with a nondegenerate homogeneous invariant supersymmetric bilinear form κ which is… read more here.
Keywords: lie superalgebras; universal central; central extensions; lie ... See more keywords
Conformal oscillator representations of orthosymplectic Lie superalgebras
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106530
Abstract: Abstract In this paper, we generalize the one-parameter (c) family of inhomogeneous first-order differential operator representations of the orthogonal Lie algebras arising from conformal transformations to those of orthosymplectic Lie superalgebras, and determine the irreducible… read more here.
Keywords: lie superalgebras; conformal oscillator; lie; oscillator representations ... See more keywords
Cohomology of Heisenberg Lie superalgebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4975606
Abstract: Suppose the ground field to be algebraically closed and of characteristic different from 2 and 3. All Heisenberg Lie superalgebras consist of two super-versions of the Heisenberg Lie algebras, ????2m,n and ????????n with m a… read more here.
Keywords: lie superalgebras; lie; heisenberg lie; cohomology heisenberg ... See more keywords
Quadratic symplectic Lie superalgebras with a filiform module as an odd part
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0142935
Abstract: The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimensions and identify the double extensions that maintain symplectic structures. By means… read more here.
Keywords: quadratic symplectic; lie superalgebras; superalgebras filiform; symplectic lie ... See more keywords
Extended affine Lie superalgebras and their affinizations
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1448840
Abstract: Abstract Extended affine Lie superalgebras are super versions of the defining axioms of extended affine Lie algebras or more generally invariant affine reflection algebras. This class includes finite dimensional basic classical simple Lie superalgebras and… read more here.
Keywords: lie superalgebras; affine lie; lie; superalgebras affinizations ... See more keywords
Isoclinic extensions of Lie superalgebras
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Algebra"
DOI: 10.1080/00927872.2020.1836188
Abstract: Abstract We study the notion of isoclinism on central extensions of Lie superalgebras and discuss some conditions under which central extensions are isoclinic as well as some results on isoclinic homomorphisms of central extensions. We… read more here.
Keywords: isoclinic extensions; lie superalgebras; extensions lie; central extensions ... See more keywords