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Algimantas Adolfas Jucys
Algimantas Adolfas Jucys (14 November 1936 – 29 July 1997) was a Lithuanian theoretical physicist more prominent as a mathematician, a son of Lithuanian physicist Adolfas Jucys. Since 1967 Algis Jucys was researcher at the Institute of Physics and Mathematics of Lithuanian Academy of Sciences, in 1977-1990 at the Institute of Physics and in 1990-1996 at the Institute of Theoretical Physics and Astronomy, Lithuania. Algimantas (Algis) Adolfas (A.-A.A.) Jucys was member of Lithuanian Physical Society, Lithuanian Mathematical Society, American Mathematical Society. Jucys–Murphy elements in the group algebra \mathbb _n of the symmetric group In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \m ... are named after him. References * * * {{DEFAULTSORT:Jucys, Algimantas Adolfas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaunas
Kaunas (; ; also see other names) is the second-largest city in Lithuania after Vilnius and an important centre of Lithuanian economic, academic, and cultural life. Kaunas was the largest city and the centre of a county in the Duchy of Trakai of the Grand Duchy of Lithuania and Trakai Palatinate since 1413. In the Russian Empire, it was the capital of the Kaunas Governorate from 1843 to 1915. During the interwar period, it served as the temporary capital of Lithuania, when Vilnius was seized and controlled by Poland between 1920 and 1939. During that period Kaunas was celebrated for its rich cultural and academic life, fashion, construction of countless Art Deco and Lithuanian National Romanticism architectural-style buildings as well as popular furniture, the interior design of the time, and a widespread café culture. The city interwar architecture is regarded as among the finest examples of European Art Deco and has received the European Heritage Label. It contributed to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vilnius
Vilnius ( , ; see also other names) is the capital and largest city of Lithuania, with a population of 592,389 (according to the state register) or 625,107 (according to the municipality of Vilnius). The population of Vilnius's functional urban area, which stretches beyond the city limits, is estimated at 718,507 (as of 2020), while according to the Vilnius territorial health insurance fund, there were 753,875 permanent inhabitants as of November 2022 in Vilnius city and Vilnius district municipalities combined. Vilnius is situated in southeastern Lithuania and is the second-largest city in the Baltic states, but according to the Bank of Latvia is expected to become the largest before 2025. It is the seat of Lithuania's national government and the Vilnius District Municipality. Vilnius is known for the architecture in its Old Town, declared a UNESCO World Heritage Site in 1994. The city was noted for its multicultural population already in the time of the Polish–Lithuanian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lithuania
Lithuania (; lt, Lietuva ), officially the Republic of Lithuania ( lt, Lietuvos Respublika, links=no ), is a country in the Baltic region of Europe. It is one of three Baltic states and lies on the eastern shore of the Baltic Sea. Lithuania shares land borders with Latvia to the north, Belarus to the east and south, Poland to the south, and Russia to the southwest. It has a Maritime boundary, maritime border with Sweden to the west on the Baltic Sea. Lithuania covers an area of , with a population of 2.8 million. Its capital and largest city is Vilnius; other major cities are Kaunas and Klaipėda. Lithuanians belong to the ethno-linguistic group of the Balts and speak Lithuanian language, Lithuanian, one of only a few living Baltic languages. For millennia the southeastern shores of the Baltic Sea were inhabited by various Balts, Baltic tribes. In the 1230s, Lithuanian lands were united by Mindaugas, Monarchy of Lithuania, becoming king and founding the Kingdom of Lithuania ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adolfas Jucys
Adolfas Pranaitis Jucys (12 September 1904 – 4 February 1974) (also referred to as ''Yutsis'', ''Yuzis'', or ''Ioucis'' depending on translation) was a Lithuanian theoretical physicist and mathematician, and inducted member of the Lithuanian Academy of Sciences in 1953. He graduated from Kaunas University in 1931 and later worked with both creators of the self-consistent field method – Douglas Hartree in Manchester (in 1938) and Vladimir Fock in Leningrad (1949–1951). Adolfas Jucys created the scientific school of theoretical physics in Vilnius, was the head of the Department of Theoretical Physics at Vilnius University (1944–1971). He organized the first Institute of Physics and Mathematics in Lithuania and was its first director (1956–1963), and later (1971–1974) the head of the Institute's Department of Quantum Mechanical Calculations. Jucys developed the theory of the electronic structure of atoms, formulated in a general form the multiconfiguration Hartree–Fock e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lithuanian Academy Of Sciences
The Lithuanian Academy of Sciences or LMA ( lt, Lietuvos mokslų akademija) is a state-funded independent organization in Lithuania dedicated for science and research. Its mission is to mobilize prominent scientists and initiate activities that would strengthen the welfare of Lithuania and contribute to the scientific, social, cultural and economic development of the country. History The idea of establishing the Lithuanian Academy of Sciences was proposed in 1773 by Marcin Odlanicki Poczobutt, Martynas Počobutas and other members of Vilnius University in the Grand Duchy of Lithuania, but it was not implemented due to wars and conflicts in the region. The idea of an independent institution for science and research was revived during the Lithuanian National Revival with the main proponents of it being the members of the Lithuanian Scientific Society, including Jonas Basanavičius and Jonas Šliūpas. However, the implementation began only in 1939, initially with the establishmen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jucys–Murphy Element
In mathematics, the Jucys–Murphy elements in the group algebra \mathbb _n of the symmetric group, named after Algimantas Adolfas Jucys and G. E. Murphy, are defined as a sum of transpositions by the formula: :X_1=0, ~~~ X_k= (1 \; k)+ (2 \; k)+\cdots+(k-1 \; k), ~~~ k=2,\dots,n. They play an important role in the representation theory of the symmetric group. Properties They generate a commutative subalgebra of \mathbb S_n. Moreover, ''X''''n'' commutes with all elements of \mathbb _. The vectors constituting the basis of Young's "seminormal representation" are eigenvectors for the action of ''X''''n''. For any standard Young tableau ''U'' we have: :X_k v_U =c_k(U) v_U, ~~~ k=1,\dots,n, where ''c''''k''(''U'') is the ''content'' ''b'' − ''a'' of the cell (''a'', ''b'') occupied by ''k'' in the standard Young tableau ''U''. Theorem (Jucys): The center Z(\mathbb _n of the group algebra \mathbb _n of the symmetric group is generate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group Ring
In algebra, a group ring is a free module and at the same time a ring, constructed in a natural way from any given ring and any given group. As a free module, its ring of scalars is the given ring, and its basis is the set of elements of the given group. As a ring, its addition law is that of the free module and its multiplication extends "by linearity" the given group law on the basis. Less formally, a group ring is a generalization of a given group, by attaching to each element of the group a "weighting factor" from a given ring. If the ring is commutative then the group ring is also referred to as a group algebra, for it is indeed an algebra over the given ring. A group algebra over a field has a further structure of a Hopf algebra; in this case, it is thus called a group Hopf algebra. The apparatus of group rings is especially useful in the theory of group representations. Definition Let ''G'' be a group, written multiplicatively, and let ''R'' be a ring. The group ring of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetric Group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \mathrm_n defined over a finite set of n symbols consists of the permutations that can be performed on the n symbols. Since there are n! (n factorial) such permutation operations, the order (number of elements) of the symmetric group \mathrm_n is n!. Although symmetric groups can be defined on infinite sets, this article focuses on the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory. For the remainder of this article, "symmetric group" will mean a symmetric group on a finite set. The symmetric group is important to diverse areas of mathematics such as Galois theory, invariant theory, the representatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1936 Births
Events January–February * January 20 – George V of the United Kingdom and the British Dominions and Emperor of India, dies at his Sandringham Estate. The Prince of Wales succeeds to the throne of the United Kingdom as King Edward VIII. * January 28 – Britain's King George V state funeral takes place in London and Windsor. He is buried at St George's Chapel, Windsor Castle * February 4 – Radium E (bismuth-210) becomes the first radioactive element to be made synthetically. * February 6 – The 1936 Winter Olympics, IV Olympic Winter Games open in Garmisch-Partenkirchen, Germany. * February 10–February 19, 19 – Second Italo-Ethiopian War: Battle of Amba Aradam – Italian forces gain a decisive tactical victory, effectively neutralizing the army of the Ethiopian Empire. * February 16 – 1936 Spanish general election: The left-wing Popular Front (Spain), Popular Front coalition takes a majority. * February 26 – February 26 Inci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1997 Deaths
File:1997 Events Collage.png, From left, clockwise: The movie set of ''Titanic'', the highest-grossing movie in history at the time; ''Harry Potter and the Philosopher's Stone'', is published; Comet Hale-Bopp passes by Earth and becomes one of the most observed comets of the 20th century; Golden Bauhinia Square, where sovereignty of Hong Kong is handed over from the United Kingdom to the People's Republic of China; the 1997 Central European flood kills 114 people in the Czech Republic, Poland, and Germany; Korean Air Flight 801 crashes during heavy rain on Guam, killing 229; Mars Pathfinder and Sojourner land on Mars; flowers left outside Kensington Palace following the death of Diana, Princess of Wales, in a car crash in Paris., 300x300px, thumb rect 0 0 200 200 Titanic (1997 film) rect 200 0 400 200 Harry Potter rect 400 0 600 200 Comet Hale-Bopp rect 0 200 300 400 Death of Diana, Princess of Wales rect 300 200 600 400 Handover of Hong Kong rect 0 400 200 600 Mars Pathfind ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vilnius University Alumni
Vilnius ( , ; see also other names) is the capital and largest city of Lithuania, with a population of 592,389 (according to the state register) or 625,107 (according to the municipality of Vilnius). The population of Vilnius's functional urban area, which stretches beyond the city limits, is estimated at 718,507 (as of 2020), while according to the Vilnius territorial health insurance fund, there were 753,875 permanent inhabitants as of November 2022 in Vilnius city and Vilnius district municipalities combined. Vilnius is situated in southeastern Lithuania and is the second-largest city in the Baltic states, but according to the Bank of Latvia is expected to become the largest before 2025. It is the seat of Lithuania's national government and the Vilnius District Municipality. Vilnius is known for the architecture in its Old Town, declared a UNESCO World Heritage Site in 1994. The city was noted for its multicultural population already in the time of the Polish–Lithuania ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
