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  • V práci je rozšířena na libovolné operátoy rekurze v dimenzi 2 nedávná hypotéza o vztahu mezi reprezentacemi nulové křivosti a nelokálními členy inverzních operátorů rekurze. V novém znění hypotéza praví, že nelokální členy operátorů rekurze jsou vždy odvozeny z vhodné reprezentace nulové křivosti, ne nutně závislé na parametru nebo s hodnotami v polojednoduché algebře. Konvenční operátory rekurze přitom odpovídají abelovským Lieovým algebrám. (cs)
  • We provide examples to extend a recent conjecture concerning the relation between zero curvature representations and nonlocal terms of inverse recursion operators to all recursion operators in dimension two. Namely, we conjecture that nonlocal terms of recursion operators are always related to a suitable zero-curvature representation, not necessarily depending on a parameter or taking values in a semisimple algebra. In particular, the conventional pseudodifferential recursion operators correspond to abelian Lie algebras.
  • We provide examples to extend a recent conjecture concerning the relation between zero curvature representations and nonlocal terms of inverse recursion operators to all recursion operators in dimension two. Namely, we conjecture that nonlocal terms of recursion operators are always related to a suitable zero-curvature representation, not necessarily depending on a parameter or taking values in a semisimple algebra. In particular, the conventional pseudodifferential recursion operators correspond to abelian Lie algebras. (en)
Title
  • A conjecture concerning nonlocal terms of recursion operators
  • A conjecture concerning nonlocal terms of recursion operators (en)
  • Hypotéza o nelokálních členech operátorů rekurze (cs)
skos:prefLabel
  • A conjecture concerning nonlocal terms of recursion operators
  • A conjecture concerning nonlocal terms of recursion operators (en)
  • Hypotéza o nelokálních členech operátorů rekurze (cs)
skos:notation
  • RIV/47813059:19610/08:#0000217!RIV09-MSM-19610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 354135
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/08:#0000217
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • recursion operator; zero curvature representation; Lie algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [40A64C563A78]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Sciences
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 151
http://linked.open...iv/tvurceVysledku
  • Marvan, Michal
  • Baran, Hynek
http://linked.open...n/vavai/riv/zamer
issn
  • 1072-3374
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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