A generalized super AKNS hierarchy associated with orthosymplectic Lie superalgebra OSP(2,2) and its super bi‐Hamiltonian structures
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DOI: 10.1002/mma.6101
Abstract: For the orthosymplectic Lie superalgebra OSP(2,2) , we choose a set of basis matrices. A linear combination of those basis matrices presents a spatial spectral matrix. The compatible condition of the spatial part and the… read more here.
Keywords: superalgebra osp; super akns; generalized super; lie superalgebra ... See more keywords
Irreducible modules for equivariant map superalgebras and their extensions
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DOI: 10.1016/j.jalgebra.2018.10.001
Abstract: Abstract Let Γ be a group acting on a scheme X and on a Lie superalgebra g , both defined over an algebraically closed field of characteristic zero k . The corresponding equivariant map superalgebra… read more here.
Keywords: finite dimensional; lie; lie superalgebra; irreducible modules ... See more keywords
Current superalgebras and unitary representations
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DOI: 10.1016/j.jpaa.2017.12.009
Abstract: In this paper we determine the projective unitary representations of finite dimensional Lie supergroups whose underlying Lie superalgebra is $\frak{g} = A \otimes \frak{k}$, where $\frak{k}$ is a compact simple Lie superalgebra and $A$ is… read more here.
Keywords: lie; projective unitary; unitary representations; current superalgebras ... See more keywords
The Drinfeld Yangian of the Queer Lie Superalgebra. Defining Relations
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DOI: 10.1134/s1995080220040241
Abstract: Abstract Drinfeld Yangian of a queer Lie superalgebra is defined as the quantization of a Lie bisuperelgebra of twisted polynomial currents. An analogue of the new system of generators of Drinfeld is being constructed. It… read more here.
Keywords: queer lie; lie; drinfeld yangian; yangian queer ... See more keywords
????-Relative cohomology on S1|1 and deformations
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DOI: 10.1142/s021988781850202x
Abstract: Over the [Formula: see text]-dimensional supercircle [Formula: see text], we investigate the first [Formula: see text]-relative cohomology space associated with the embedding of the Lie superalgebra [Formula: see text] of contact vector fields in the… read more here.
Keywords: see text; formula see; superalgebra formula; lie superalgebra ... See more keywords
Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K n , m
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DOI: 10.1155/2021/7069556
Abstract: In this paper, a finite-dimensional Lie superalgebra K n , m over a field of prime characteristic is constructed. Then, we study some properties of K n , m . Moreover, we prove that K… read more here.
Keywords: math; jats inline; lie superalgebra; inline formula ... See more keywords