Special Lagrangian linear subspaces in product symplectic space

Małgorzata Mikosz. "Special Lagrangian linear subspaces in product symplectic space." Banach Center Publications 65.1 (2004): 151-156. <http://eudml.org/doc/281629>.

@article{MałgorzataMikosz2004,
abstract = {The notes consist of a study of special Lagrangian linear subspaces. We will give a condition for the graph of a linear symplectomorphism $f:(ℝ^\{2n\},σ = ∑_\{i=1\}^\{n\} dx_i ∧ dy_i) → (ℝ^\{2n\},σ)$ to be a special Lagrangian linear subspace in $(ℝ^\{2n\} × ℝ^\{2n\},ω = π*₂σ - π*₁σ)$. This way a special symplectic subset in the symplectic group is introduced. A stratification of special Lagrangian Grassmannian $SΛ_\{2n\} ≃ SU(2n)/SO(2n)$ is defined.},
author = {Małgorzata Mikosz},
journal = {Banach Center Publications},
keywords = {graph; symplectomorphism; stratification},
language = {eng},
number = {1},
pages = {151-156},
title = {Special Lagrangian linear subspaces in product symplectic space},
url = {http://eudml.org/doc/281629},
volume = {65},
year = {2004},
}

TY - JOUR
AU - Małgorzata Mikosz
TI - Special Lagrangian linear subspaces in product symplectic space
JO - Banach Center Publications
PY - 2004
VL - 65
IS - 1
SP - 151
EP - 156
AB - The notes consist of a study of special Lagrangian linear subspaces. We will give a condition for the graph of a linear symplectomorphism $f:(ℝ^{2n},σ = ∑_{i=1}^{n} dx_i ∧ dy_i) → (ℝ^{2n},σ)$ to be a special Lagrangian linear subspace in $(ℝ^{2n} × ℝ^{2n},ω = π*₂σ - π*₁σ)$. This way a special symplectic subset in the symplectic group is introduced. A stratification of special Lagrangian Grassmannian $SΛ_{2n} ≃ SU(2n)/SO(2n)$ is defined.
LA - eng
KW - graph; symplectomorphism; stratification
UR - http://eudml.org/doc/281629
ER -