"RIV/00216208:11320/07:00004480" . "Deformace kvadratick\u00FDch algeber, Joseph\u016Fv ide\u00E1l klasick\u00FDch Lieov\u00FDch algeber a speci\u00E1ln\u00ED tensory"@cs . "11"^^ . "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." . "Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors"@en . "Symmetries and overdetermined systems of partial differential equations" . . . . "Somberg, Petr" . "144" . . . . . "Springer-Verlag New York" . . . . "1"^^ . "Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors"@en . . "527;537" . "RIV/00216208:11320/07:00004480!RIV08-MSM-11320___" . "978-0-387-73830-7" . "Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors" . "1"^^ . . "Deformace kvadratick\u00FDch algeber, Joseph\u016Fv ide\u00E1l klasick\u00FDch Lieov\u00FDch algeber a speci\u00E1ln\u00ED tensory"@cs . . "Z(MSM0021620839)" . "Deformations; quadratic; algebras; Joseph; ideal; classical; algebras; special; tensors"@en . "Joseph\u016Fv ide\u00E1l je jedin\u00FD ide\u00E1l v univers\u00E1ln\u00ED obaluj\u00EDc\u00ED algeb\u0159e jednoduch\u00E9 Lieovy algebry asociovan\u00FD k minim\u00E1ln\u00ED koadjungovan\u00E9 orbit\u011B. Jeho konstrukce byla pops\u00E1na v pr\u00E1ci Bravermana a Josepha. Tent\u00FD\u017E ide\u00E1l se v sou\u010Dasnosti objevil v souvislosti se symetriemi diferenci\u00E1ln\u00EDch operator\u016F. \u010Cl\u00E1nek tuto souvislost popisuje a vysv\u011Btluje s vyu\u017Eit\u00EDm speci\u00E1ln\u00EDch element\u016F, tzv. speci\u00E1ln\u00EDch tensor\u016F."@cs . "11320" . . "416031" . . "[C0D15A9A2F52]" . . . . "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 . . "Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors" . "USA" . .