# Special Lagrangian linear subspaces in product symplectic space

Banach Center Publications (2004)

- Volume: 65, Issue: 1, page 151-156
- ISSN: 0137-6934

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topMałgorzata 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 -

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