Borel-Weil theory and Feynman path integrals on flag manifolds

DOI10.32917/hmj/1206128252zbMath0838.22009OpenAlexW1953154833MaRDI QIDQ1310527

Kazunori Ogura, Kiyosato Okamoto, Takashi Hashimoto, Ryuichi Sawae

Publication date: 30 May 1996

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206128252

zbMATH Keywords

flag manifoldHilbert spaceHeisenberg groupLie algebrapath integralsHamiltonianscoadjoint orbitscomplexificationintegral formroot vectorsirreducible unitary representationCartan subgroupconnected semisimple Lie group\(\text{SU}(1,1)\)\(\text{SU}(2)\)Borel-Weil theoryholomorphic character

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of manifolds of mappings to the sciences (58D30)

Related Items (3)

Integrability of one-parameter groups generated by the Virasoro operators ⋮ On the principal symbols of \(K_C\)-invariant differential operators on Hermitian symmetric spaces ⋮ The star exponential and path integrals on compact groups. II: The Weyl character formula

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