FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3199427600> ?p ?o ?g. }

• W3199427600 abstract "We introduce a bi-Hamiltonian hierarchy on the cotangent bundle of the real Lie group ${mathrm GL}(n,{mathbb{C}})$, and study its Poisson reduction with respect to the action of the product group ${{mathrm U}(n)} times {{mathrm U}(n)}$ arising from left- and right-multiplications. One of the pertinent Poisson structures is the canonical one, while the other is suitably transferred from the real Heisenberg double of ${mathrm GL}(n,{mathbb{C}})$. When taking the quotient of $T^*{mathrm GL}(n,{mathbb{C}})$ we focus on the dense open subset of ${mathrm GL}(n,{mathbb{C}})$ whose elements have pairwise distinct singular values. We develop a convenient description of the Poisson algebras of the ${{mathrm U}(n)} times {{mathrm U}(n)}$ invariant functions, and show that one of the Hamiltonians of the reduced bi-Hamiltonian hierarchy yields a hyperbolic Sutherland model coupled to two ${mathfrak u}(n)^*$-valued spins. Thus we obtain a new bi-Hamiltonian interpretation of this model, which represents a special case of Sutherland models coupled to two spins obtained earlier from reductions of cotangent bundles of reductive Lie groups equipped with their canonical Poisson structure. Upon setting one of the spins to zero, we recover the bi-Hamiltonian structure of the standard hyperbolic spin Sutherland model that was derived recently by a different method." @default.
• W3199427600 created "2021-09-27" @default.
• W3199427600 creator A5051880552 @default.
• W3199427600 date "2021-09-15" @default.
• W3199427600 modified "2023-09-27" @default.
• W3199427600 title "Bi-Hamiltonian structure of Sutherland models coupled to two ${mathfrak u}(n)^*$-valued spins from Poisson reduction" @default.
• W3199427600 cites W1664642235 @default.
• W3199427600 cites W1726340800 @default.
• W3199427600 cites W1825598370 @default.
• W3199427600 cites W1856809625 @default.
• W3199427600 cites W1857810096 @default.
• W3199427600 cites W1889347406 @default.
• W3199427600 cites W1970766718 @default.
• W3199427600 cites W1972362863 @default.
• W3199427600 cites W1975509452 @default.
• W3199427600 cites W2011023754 @default.
• W3199427600 cites W2017614423 @default.
• W3199427600 cites W2022966562 @default.
• W3199427600 cites W2058486674 @default.
• W3199427600 cites W2067175118 @default.
• W3199427600 cites W2070316090 @default.
• W3199427600 cites W2073427020 @default.
• W3199427600 cites W2081021127 @default.
• W3199427600 cites W2093785095 @default.
• W3199427600 cites W2111630313 @default.
• W3199427600 cites W2609095487 @default.
• W3199427600 cites W2922335905 @default.
• W3199427600 cites W2963420364 @default.
• W3199427600 cites W2963672837 @default.
• W3199427600 cites W2963782509 @default.
• W3199427600 cites W2963793509 @default.
• W3199427600 cites W2981475884 @default.
• W3199427600 cites W3005470073 @default.
• W3199427600 cites W3047731898 @default.
• W3199427600 cites W3099104988 @default.
• W3199427600 cites W3101184845 @default.
• W3199427600 cites W3102953570 @default.
• W3199427600 cites W3103052834 @default.
• W3199427600 cites W3104008428 @default.
• W3199427600 cites W3105771680 @default.
• W3199427600 cites W3106160500 @default.
• W3199427600 cites W3107877946 @default.
• W3199427600 cites W3111207452 @default.
• W3199427600 cites W3123165836 @default.
• W3199427600 cites W3167090171 @default.
• W3199427600 cites W3190772068 @default.
• W3199427600 cites W3190823460 @default.
• W3199427600 cites W67602303 @default.
• W3199427600 hasPublicationYear "2021" @default.
• W3199427600 type Work @default.
• W3199427600 sameAs 3199427600 @default.
• W3199427600 citedByCount "0" @default.
• W3199427600 crossrefType "posted-content" @default.
• W3199427600 hasAuthorship W3199427600A5051880552 @default.
• W3199427600 hasConcept C100906024 @default.
• W3199427600 hasConcept C105795698 @default.
• W3199427600 hasConcept C114614502 @default.
• W3199427600 hasConcept C121332964 @default.
• W3199427600 hasConcept C126255220 @default.
• W3199427600 hasConcept C130787639 @default.
• W3199427600 hasConcept C178009071 @default.
• W3199427600 hasConcept C187915474 @default.
• W3199427600 hasConcept C188845816 @default.
• W3199427600 hasConcept C197375991 @default.
• W3199427600 hasConcept C199422724 @default.
• W3199427600 hasConcept C202444582 @default.
• W3199427600 hasConcept C2524010 @default.
• W3199427600 hasConcept C26873012 @default.
• W3199427600 hasConcept C2778870898 @default.
• W3199427600 hasConcept C33923547 @default.
• W3199427600 hasConcept C37914503 @default.
• W3199427600 hasConcept C51568863 @default.
• W3199427600 hasConcept C62520636 @default.
• W3199427600 hasConcept C7979169 @default.
• W3199427600 hasConceptScore W3199427600C100906024 @default.
• W3199427600 hasConceptScore W3199427600C105795698 @default.
• W3199427600 hasConceptScore W3199427600C114614502 @default.
• W3199427600 hasConceptScore W3199427600C121332964 @default.
• W3199427600 hasConceptScore W3199427600C126255220 @default.
• W3199427600 hasConceptScore W3199427600C130787639 @default.
• W3199427600 hasConceptScore W3199427600C178009071 @default.
• W3199427600 hasConceptScore W3199427600C187915474 @default.
• W3199427600 hasConceptScore W3199427600C188845816 @default.
• W3199427600 hasConceptScore W3199427600C197375991 @default.
• W3199427600 hasConceptScore W3199427600C199422724 @default.
• W3199427600 hasConceptScore W3199427600C202444582 @default.
• W3199427600 hasConceptScore W3199427600C2524010 @default.
• W3199427600 hasConceptScore W3199427600C26873012 @default.
• W3199427600 hasConceptScore W3199427600C2778870898 @default.
• W3199427600 hasConceptScore W3199427600C33923547 @default.
• W3199427600 hasConceptScore W3199427600C37914503 @default.
• W3199427600 hasConceptScore W3199427600C51568863 @default.
• W3199427600 hasConceptScore W3199427600C62520636 @default.
• W3199427600 hasConceptScore W3199427600C7979169 @default.
• W3199427600 hasLocation W31994276001 @default.
• W3199427600 hasOpenAccess W3199427600 @default.
• W3199427600 hasPrimaryLocation W31994276001 @default.
• W3199427600 hasRelatedWork W1517298655 @default.
• W3199427600 hasRelatedWork W1964135534 @default.
• W3199427600 hasRelatedWork W2024461756 @default.

• next