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DTSTART;TZID=Europe/Sofia:20220401T130000
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SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 1 април 2022 г. (петък) от 13:00 ч. ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nAutomorphisms of simple quotients of the Poisson and universal enveloping algebras of sl_2\nще изнесе Altyngul Naurazbekova (L. N. Gumilyov Eurasian National University\, Nur-Sultan\, Kazakhstan). \nРезюме. Let P(sl_2(K)) be the Poisson enveloping algebra of the Lie algebra sl_2(K) over an algebraically closed field K of characteristic zero. U. Umirbaev\, V. Zhelyabin proved that the quotient algebras P(sl_2(K))/(C_P – λ)\, where C_P is the standard Casimir element of sl_2(K) in P(sl_2(K)) and 0 ≠ λ ∈K\, are simple. Using a result by L. Makar-Limanov on groups of automorphisms of a class of surfaces\, we describe generators of the automorphism group of P(sl_2(K))/(C_P – λ) and represent this group as an amalgamated product of its subgroups. Moreover\, using similar results by J. Dixmier and O. Fleury for the quotient algebras U(sl_2(K))/(C_U – λ)\, where C_U is the standard Casimir element of sl_2(K) in the universal enveloping algebra U(sl_2(K))\, we prove that the automorphism groups of P(sl_2(K))/(C_P – λ) and U(sl_2(K))/(C_U – λ) are isomorphic.This is a joint work with professor U. Umirbaev. \n\n  \nСеминарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка: \nhttps://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 \nTopic: Онлайн семинар на секция “Алгебра и логика”\nTime: Apr 1\, 2022 01:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647 \nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-75/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%20%D0%B8%20%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
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