$SYMPL symplectic

Latest papers

1. Two-step nilpotent Lie algebras obtained by quivers and geometric structures math.DG · 19 Oct · 1 hit

   …pseudo-Riemannian Ricci-flat metric. Additionally, we also classify these nilpotent Lie algebras that admit symplectic structures.

2. 2-Local Derivations on Conformal Galilei Lie Algebras and Their Central Extensions math.RA · 19 Oct · 2 hits

   …central extension with $2\ell\ge3$, the residual map is first reduced to the center and then eliminated by a symplectic-anchor construction on the Heisenberg radical; a dimension argument in the centralizer of a…

3. Perturbation theory for quantum information quantities of Gaussian states quant-ph · 19 Oct · 3 hits

   …identities, we derive compact second-order expressions for reference-state covariance matrices whose symplectic eigenvalues are all greater than $1/2$. We also show that the perturbative quantum Chernoff…

4. Non-abelian LVM manifolds} math.CV · 18 Oct · 1 hit

   …we construct explicit families of complex dimension $2m-3$, $m\geq5$, which are $4$-connected and admit no symplectic form. Their meromorphic function fields are rational of transcendence degree $m-2$, although every…

5. Isotropy of symplectic involutions and motivic equivalence for groups of type $\sf{C}$ math.AG · 18 Oct · 3 hits

   We extend to arbitrary characteristic a theorem due to Karpenko and Tignol on the isotropy of symplectic involutions after generic index reduction; as a consequence, we also prove the existence of…

6. Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven math.AG · 18 Oct · 2 hits

   We classify all finite groups of order divisible by $7$ that admit a faithful symplectic action on a K3 surface over an algebraically closed field of characteristic seven, together with…

7. The Streets--Tian conjecture on compact homogeneous quotients math.DG · 18 Oct · 5 hits

   A Hermitian-symplectic metric is a Hermitian metric whose K\"ahler form is given by the $(1,1)$-part of a closed…

8. Generalized symmetric pairs, Lie superalgebras, Dirac operators and Kostant constants math.RT · 18 Oct · 2 hits

   …When $\mathfrak{g}(i)$ admits a $\mathfrak{g}(1)$-invariant symplectic structure, $(\mathfrak{g},\sigma)$ is called a \emph{generalized symmetric pair with symplectic…