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Description
  • The Joseph ideal is a unique ideal in the universal enveloping algebra of a simple Lie algebra attached to the minimal coadjoint orbit. Its construction using deformation theory was described by Braverman and Joseph. The same ideal appeared recently in connection with algebra of symmetries of differential operators. The paper presents a review of the corresponding circle of ideas and it discusses a role of special tensors in these questions.
  • The Joseph ideal is a unique ideal in the universal enveloping algebra of a simple Lie algebra attached to the minimal coadjoint orbit. Its construction using deformation theory was described by Braverman and Joseph. The same ideal appeared recently in connection with algebra of symmetries of differential operators. The paper presents a review of the corresponding circle of ideas and it discusses a role of special tensors in these questions. (en)
  • Josephův ideál je jediný ideál v universální obalující algebře jednoduché Lieovy algebry asociovaný k minimální koadjungované orbitě. Jeho konstrukce byla popsána v práci Bravermana a Josepha. Tentýž ideál se v současnosti objevil v souvislosti se symetriemi diferenciálních operatorů. Článek tuto souvislost popisuje a vysvětluje s využitím speciálních elementů, tzv. speciálních tensorů. (cs)
Title
  • Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors
  • Deformace kvadratických algeber, Josephův ideál klasických Lieových algeber a speciální tensory (cs)
  • Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors (en)
skos:prefLabel
  • Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors
  • Deformace kvadratických algeber, Josephův ideál klasických Lieových algeber a speciální tensory (cs)
  • Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors (en)
skos:notation
  • RIV/00216208:11320/07:00004480!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 527;537
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620839)
http://linked.open...vai/riv/dodaniDat
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http://linked.open...iv/duvernostUdaju
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  • 416031
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  • RIV/00216208:11320/07:00004480
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  • Deformations; quadratic; algebras; Joseph; ideal; classical; algebras; special; tensors (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [C0D15A9A2F52]
http://linked.open...i/riv/mistoVydani
  • USA
http://linked.open...vEdiceCisloSvazku
  • 144
http://linked.open...i/riv/nazevZdroje
  • Symmetries and overdetermined systems of partial differential equations
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Somberg, Petr
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Springer-Verlag New York
https://schema.org/isbn
  • 978-0-387-73830-7
http://localhost/t...ganizacniJednotka
  • 11320
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