Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964240792> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2964240792 endingPage "106" @default.
- W2964240792 startingPage "87" @default.
- W2964240792 abstract "For the root system of each complex semi-simple Lie algebra of rank two, and for the associated 2D Toda chain $E={u_{xy}=exp(K u)}$, we calculate the two first integrals of the characteristic equation $D_y(w)=0$ on $E$. Using the integrals, we reconstruct and make coordinate-independent the $(2times 2)$-matrix operators $square$ in total derivatives that factor symmetries of the chains. Writing other factorizations that involve the operators $square$, we obtain pairs of compatible Hamiltonian operators that produce KdV-type hierarchies of symmetries for $cE$. Having thus reduced the problem to the Hamiltonian case, we calculate the Lie-type brackets, transferred from the commutators of the symmetries in the images of the operators $square$ onto their domains. With all this, we describe the generators and derive all the commutation relations in the symmetry algebras of the 2D Toda chains, which serve here as an illustration for a much more general algebraic and geometric set-up." @default.
- W2964240792 created "2019-07-30" @default.
- W2964240792 creator A5076292361 @default.
- W2964240792 creator A5084012982 @default.
- W2964240792 date "2009-01-30" @default.
- W2964240792 modified "2023-09-27" @default.
- W2964240792 title "A geometric derivation of KdV-type hierarchies from root systems" @default.
- W2964240792 cites W1565930783 @default.
- W2964240792 cites W1642629289 @default.
- W2964240792 cites W1934774888 @default.
- W2964240792 cites W1964334971 @default.
- W2964240792 cites W1976208317 @default.
- W2964240792 cites W2034022392 @default.
- W2964240792 cites W2106842544 @default.
- W2964240792 cites W2164143339 @default.
- W2964240792 cites W2179428325 @default.
- W2964240792 cites W2773557151 @default.
- W2964240792 cites W34126534 @default.
- W2964240792 hasPublicationYear "2009" @default.
- W2964240792 type Work @default.
- W2964240792 sameAs 2964240792 @default.
- W2964240792 citedByCount "0" @default.
- W2964240792 crossrefType "journal-article" @default.
- W2964240792 hasAuthorship W2964240792A5076292361 @default.
- W2964240792 hasAuthorship W2964240792A5084012982 @default.
- W2964240792 hasConcept C11577676 @default.
- W2964240792 hasConcept C121332964 @default.
- W2964240792 hasConcept C126255220 @default.
- W2964240792 hasConcept C130787639 @default.
- W2964240792 hasConcept C134306372 @default.
- W2964240792 hasConcept C136119220 @default.
- W2964240792 hasConcept C146630112 @default.
- W2964240792 hasConcept C158622935 @default.
- W2964240792 hasConcept C18903297 @default.
- W2964240792 hasConcept C202444582 @default.
- W2964240792 hasConcept C2524010 @default.
- W2964240792 hasConcept C2777299769 @default.
- W2964240792 hasConcept C33923547 @default.
- W2964240792 hasConcept C51568863 @default.
- W2964240792 hasConcept C62520636 @default.
- W2964240792 hasConcept C86803240 @default.
- W2964240792 hasConcept C9376300 @default.
- W2964240792 hasConcept C96469262 @default.
- W2964240792 hasConceptScore W2964240792C11577676 @default.
- W2964240792 hasConceptScore W2964240792C121332964 @default.
- W2964240792 hasConceptScore W2964240792C126255220 @default.
- W2964240792 hasConceptScore W2964240792C130787639 @default.
- W2964240792 hasConceptScore W2964240792C134306372 @default.
- W2964240792 hasConceptScore W2964240792C136119220 @default.
- W2964240792 hasConceptScore W2964240792C146630112 @default.
- W2964240792 hasConceptScore W2964240792C158622935 @default.
- W2964240792 hasConceptScore W2964240792C18903297 @default.
- W2964240792 hasConceptScore W2964240792C202444582 @default.
- W2964240792 hasConceptScore W2964240792C2524010 @default.
- W2964240792 hasConceptScore W2964240792C2777299769 @default.
- W2964240792 hasConceptScore W2964240792C33923547 @default.
- W2964240792 hasConceptScore W2964240792C51568863 @default.
- W2964240792 hasConceptScore W2964240792C62520636 @default.
- W2964240792 hasConceptScore W2964240792C86803240 @default.
- W2964240792 hasConceptScore W2964240792C9376300 @default.
- W2964240792 hasConceptScore W2964240792C96469262 @default.
- W2964240792 hasLocation W29642407921 @default.
- W2964240792 hasOpenAccess W2964240792 @default.
- W2964240792 hasPrimaryLocation W29642407921 @default.
- W2964240792 hasRelatedWork W1495912304 @default.
- W2964240792 hasRelatedWork W1538779519 @default.
- W2964240792 hasRelatedWork W1648572825 @default.
- W2964240792 hasRelatedWork W1847591980 @default.
- W2964240792 hasRelatedWork W1955426921 @default.
- W2964240792 hasRelatedWork W1979481788 @default.
- W2964240792 hasRelatedWork W1986355636 @default.
- W2964240792 hasRelatedWork W1988393790 @default.
- W2964240792 hasRelatedWork W2029473058 @default.
- W2964240792 hasRelatedWork W2064057406 @default.
- W2964240792 hasRelatedWork W2077957495 @default.
- W2964240792 hasRelatedWork W2094889629 @default.
- W2964240792 hasRelatedWork W2153333466 @default.
- W2964240792 hasRelatedWork W2164143339 @default.
- W2964240792 hasRelatedWork W2397670771 @default.
- W2964240792 hasRelatedWork W2949375187 @default.
- W2964240792 hasRelatedWork W3002468006 @default.
- W2964240792 hasRelatedWork W3103111219 @default.
- W2964240792 hasRelatedWork W3104647081 @default.
- W2964240792 hasRelatedWork W3104928711 @default.
- W2964240792 isParatext "false" @default.
- W2964240792 isRetracted "false" @default.
- W2964240792 magId "2964240792" @default.
- W2964240792 workType "article" @default.