Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995540416> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W1995540416 endingPage "58" @default.
- W1995540416 startingPage "5" @default.
- W1995540416 abstract "In this paper, we begin a quantization program for nilpotent orbits OR of a real semisimple Lie group GR. These orbits arise naturally as the coadjoint orbits of GR which are stable under scaling, and thus they have a canonical symplectic structure ω where the GR-action is Hamiltonian. These orbits and their covers generalize the oscillator phase space T∗Rn, which occurs here when GR = Sp(2n, R) and OR is minimal. A complex structure J polarizing OR and invariant under a maximal compact subgroup KR of GR is provided by the Kronheimer-Vergne Kaehler structure (J, ω). We argue that the Kaehler potential serves as the Hamiltonian. Using this setup, we realize the Lie algebra ℷR of GR as a Lie algebra of rational functions on the holomorphic cotangent bundle T∗Y where Y = (OR, J). Thus we transform the quantization problem on OR into a quantization problem on T∗Y. We explain this in detail and solve the new quantization problem on T∗Y in a uniform manner for minimal nilpotent orbits in the non-Hermitian case. The Hilbert space of quantization consists of holomorphic half-forms on Y. We construct the reproducing kernel. The Lie algebra ℷR acts by explicit pseudo-differential operators on half-forms where the energy operator quantizing the Hamiltonian is inverted. The Lie algebra representation exponentiates to give a minimal unitary ladder representation of a cover of GR. Jordan algebras play a key role in the geometry and the quantization." @default.
- W1995540416 created "2016-06-24" @default.
- W1995540416 creator A5004984032 @default.
- W1995540416 date "1998-08-01" @default.
- W1995540416 modified "2023-09-27" @default.
- W1995540416 title "Geometric quantization of real minimal nilpotent orbits" @default.
- W1995540416 cites W1513248130 @default.
- W1995540416 cites W1545128029 @default.
- W1995540416 cites W1574670700 @default.
- W1995540416 cites W1965867735 @default.
- W1995540416 cites W1984921260 @default.
- W1995540416 cites W1996435356 @default.
- W1995540416 cites W2014785990 @default.
- W1995540416 cites W2063626647 @default.
- W1995540416 cites W85834919 @default.
- W1995540416 doi "https://doi.org/10.1016/s0926-2245(98)00017-5" @default.
- W1995540416 hasPublicationYear "1998" @default.
- W1995540416 type Work @default.
- W1995540416 sameAs 1995540416 @default.
- W1995540416 citedByCount "20" @default.
- W1995540416 countsByYear W19955404162012 @default.
- W1995540416 countsByYear W19955404162014 @default.
- W1995540416 countsByYear W19955404162015 @default.
- W1995540416 countsByYear W19955404162016 @default.
- W1995540416 countsByYear W19955404162018 @default.
- W1995540416 countsByYear W19955404162019 @default.
- W1995540416 countsByYear W19955404162020 @default.
- W1995540416 countsByYear W19955404162022 @default.
- W1995540416 crossrefType "journal-article" @default.
- W1995540416 hasAuthorship W1995540416A5004984032 @default.
- W1995540416 hasBestOaLocation W19955404162 @default.
- W1995540416 hasConcept C108568745 @default.
- W1995540416 hasConcept C121332964 @default.
- W1995540416 hasConcept C136119220 @default.
- W1995540416 hasConcept C143397304 @default.
- W1995540416 hasConcept C158913796 @default.
- W1995540416 hasConcept C168619227 @default.
- W1995540416 hasConcept C178009071 @default.
- W1995540416 hasConcept C187915474 @default.
- W1995540416 hasConcept C202444582 @default.
- W1995540416 hasConcept C22365015 @default.
- W1995540416 hasConcept C2524010 @default.
- W1995540416 hasConcept C33923547 @default.
- W1995540416 hasConcept C50555996 @default.
- W1995540416 hasConcept C51568863 @default.
- W1995540416 hasConcept C58910974 @default.
- W1995540416 hasConcept C62520636 @default.
- W1995540416 hasConcept C7979169 @default.
- W1995540416 hasConcept C84114770 @default.
- W1995540416 hasConceptScore W1995540416C108568745 @default.
- W1995540416 hasConceptScore W1995540416C121332964 @default.
- W1995540416 hasConceptScore W1995540416C136119220 @default.
- W1995540416 hasConceptScore W1995540416C143397304 @default.
- W1995540416 hasConceptScore W1995540416C158913796 @default.
- W1995540416 hasConceptScore W1995540416C168619227 @default.
- W1995540416 hasConceptScore W1995540416C178009071 @default.
- W1995540416 hasConceptScore W1995540416C187915474 @default.
- W1995540416 hasConceptScore W1995540416C202444582 @default.
- W1995540416 hasConceptScore W1995540416C22365015 @default.
- W1995540416 hasConceptScore W1995540416C2524010 @default.
- W1995540416 hasConceptScore W1995540416C33923547 @default.
- W1995540416 hasConceptScore W1995540416C50555996 @default.
- W1995540416 hasConceptScore W1995540416C51568863 @default.
- W1995540416 hasConceptScore W1995540416C58910974 @default.
- W1995540416 hasConceptScore W1995540416C62520636 @default.
- W1995540416 hasConceptScore W1995540416C7979169 @default.
- W1995540416 hasConceptScore W1995540416C84114770 @default.
- W1995540416 hasIssue "1-2" @default.
- W1995540416 hasLocation W19955404161 @default.
- W1995540416 hasLocation W19955404162 @default.
- W1995540416 hasLocation W19955404163 @default.
- W1995540416 hasOpenAccess W1995540416 @default.
- W1995540416 hasPrimaryLocation W19955404161 @default.
- W1995540416 hasRelatedWork W2021495773 @default.
- W1995540416 hasRelatedWork W2032895776 @default.
- W1995540416 hasRelatedWork W2068081046 @default.
- W1995540416 hasRelatedWork W2273568450 @default.
- W1995540416 hasRelatedWork W2548163410 @default.
- W1995540416 hasRelatedWork W2951651233 @default.
- W1995540416 hasRelatedWork W4200176804 @default.
- W1995540416 hasRelatedWork W4300509018 @default.
- W1995540416 hasRelatedWork W4300532507 @default.
- W1995540416 hasRelatedWork W632084311 @default.
- W1995540416 hasVolume "9" @default.
- W1995540416 isParatext "false" @default.
- W1995540416 isRetracted "false" @default.
- W1995540416 magId "1995540416" @default.
- W1995540416 workType "article" @default.