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Denominator identity for affine Lie superalgebras with zero dual Coxeter number
Denominator identity affine Lie superalgebras zero dual Coxeter number
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2011/2/28
We prove a denominator identity for non-twisted affine Lie superalgebras with zero dual Coxeter number.
Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality
Finite $W$-superalgebras queer Lie superalgebras higher Sergeev duality
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2011/1/20
We initiate and develop the theory of finite W-superalgebras W associated to the queer Lie superalgebra g = q(N) and a nilpotent linear func-tional ∈ g ¯0 . We show that the definition of th...
Lie superalgebras with some homogeneous structures
Lie superalgebras homogeneous structures
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2010/11/18
We generalize to the case of Lie superalgebras the classical symplectic double extension of symplectic Lie algebras introduced in [2]. We use this concept to give an inductive description of nilpoten...
Lie superalgebras of differential operators
Lie superalgebras differential operators
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2010/11/15
We describe explicitly Lie superalgebra isomorphisms between the Lie superalgebras of first-order superdifferential operators on supermanifolds, showing in particular that any such isomorphism induce...
On cohomology and support varieties for Lie superalgebras
cohomology varieties Lie superalgebras
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2010/12/8
Support varieties for Lie superalgebras over the complex numbers were introduced in [BKN1] using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings fo...
Yang-Baxter operators from algebra structures and Lie superalgebras
Yang-Baxter operators algebra structures Lie superalgebras
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2010/11/29
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra struc-tures. In the last section, we present enhanced versions of Theo...
The Frattini Subalgebra of Restricted Lie Superalgebras
restricted Lie superalgebras $E$-$p$-restricteLie superalgebras Frattini $p$-subalgebra $\phi_p$-free $p$-elementary
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2007/12/11
In the present paper, we study the Frattini subalgebra of a restricted Lie superalgebra $(L,[p])$. We show first that if $L=A_1\bigoplus A_2\bigoplus\cdots \bigoplus A_n,$ then $\phi_p(L)= \phi_p(A_1)...