Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits

DOI10.5802/aif.2428zbMath1170.58002arXivmath-ph/0605032OpenAlexW1619698275MaRDI QIDQ1010972

Alice Barbara Tumpach

Publication date: 7 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0605032

zbMATH Keywords

cotangent spacerestricted Grassmannian\(L^*\)-algebraaffine coadjoint orbitHermitian-symmetric spaceshyper-Kähler reductioninfinite-dimensional hyper-Kähler manifoldsstrongly orthogonal roots

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Infinite-dimensional manifolds (46T05)

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