Alexander Molev
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Alexander Molev
Alexander Ivanovich Molev (russian: Алекса́ндр Ива́нович Мо́лев) (born 1961) is a Russian- Australian mathematician. He completed his Ph.D. in 1986 under the supervision of Alexandre Kirillov at Moscow State University. He was awarded the Australian Mathematical Society Medal in 2001. Amongst other things, he has worked on Yangians and Lie algebras. He is currently a Professor in the School of Mathematics and Statistics, Faculty of Science, University of Sydney. Bibliography * Alexander Molev, ''Yangians and classical Lie algebras'', Mathematical Surveys and Monographs, 143. American Mathematical Society, Providence, RI, 2007. xviii+400 pp. * Alexander Molev, ''Sugawara Operators for Classical Lie Algebras'', Mathematical Surveys and Monographs, 229. American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves ...
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Russia
Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the world, with its internationally recognised territory covering , and encompassing one-eighth of Earth's inhabitable landmass. Russia extends across Time in Russia, eleven time zones and shares Borders of Russia, land boundaries with fourteen countries, more than List of countries and territories by land borders, any other country but China. It is the List of countries and dependencies by population, world's ninth-most populous country and List of European countries by population, Europe's most populous country, with a population of 146 million people. The country's capital and List of cities and towns in Russia by population, largest city is Moscow, the List of European cities by population within city limits, largest city entirely within E ...
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Australia
Australia, officially the Commonwealth of Australia, is a Sovereign state, sovereign country comprising the mainland of the Australia (continent), Australian continent, the island of Tasmania, and numerous List of islands of Australia, smaller islands. With an area of , Australia is the largest country by area in Oceania and the world's List of countries and dependencies by area, sixth-largest country. Australia is the oldest, flattest, and driest inhabited continent, with the least fertile soils. It is a Megadiverse countries, megadiverse country, and its size gives it a wide variety of landscapes and climates, with Deserts of Australia, deserts in the centre, tropical Forests of Australia, rainforests in the north-east, and List of mountains in Australia, mountain ranges in the south-east. The ancestors of Aboriginal Australians began arriving from south east Asia approximately Early human migrations#Nearby Oceania, 65,000 years ago, during the Last Glacial Period, last i ...
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Alexandre Kirillov
Alexandre Aleksandrovich Kirillov (russian: Алекса́ндр Алекса́ндрович Кири́ллов, born 1936) is a Soviet and Russian mathematician, known for his works in the fields of representation theory, topological groups and Lie groups. In particular he introduced the orbit method into representation theory. He is an emeritus professor at the University of Pennsylvania. Career Kirillov studied at Moscow State University where he was a student of Israel Gelfand. His Ph.D. (kandidat) dissertation ''Unitary representations of nilpotent Lie groups'' was published in 1962. He was awarded the degree of Doctor of Science. At the time he was the youngest Doctor of Science in the Soviet Union. He worked at the Moscow State University until 1994 when he became the Francis J. Carey Professor of Mathematics at the University of Pennsylvania. During his school years, Kirillov was a winner of many mathematics competitions, and he is still an active organizer of Russia ...
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Moscow State University
M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious university in the country. The university includes 15 research institutes, 43 faculties, more than 300 departments, and six branches (including five foreign ones in the Commonwealth of Independent States countries). Alumni of the university include past leaders of the Soviet Union and other governments. As of 2019, 13 List of Nobel laureates, Nobel laureates, six Fields Medal winners, and one Turing Award winner had been affiliated with the university. The university was ranked 18th by ''The Three University Missions Ranking'' in 2022, and 76th by the ''QS World University Rankings'' in 2022, #293 in the world by the global ''Times Higher World University Rankings'', and #326 by ''U.S. News & World Report'' in 2022. It was the highest-ran ...
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Australian Mathematical Society Medal
The Australian Mathematical Society (AustMS) was founded in 1956 and is the national society of the mathematics profession in Australia. One of the Society's listed purposes is to promote the cause of mathematics in the community by representing the interests of the profession to government. The Society also publishes three mathematical journals. In December 2020, Ole Warnaar moved from President-Elect to President, succeeding Jacqui Ramagge, who was elected in 2018. Society awards * The Australian Mathematical Society Medal * The George Szekeres Medal * The Gavin Brown Prize * The Mahler Lectureship * The B.H. Neumann Prize Society journals The society publishes three journals through Cambridge University Press: * ''Journal of the Australian Mathematical Society'' * ''ANZIAM Journal'' (formerly ''Series B, Applied Mathematics'') * ''Bulletin of the Australian Mathematical Society'' ANZIAM ANZIAM (Australia and New Zealand Industrial and Applied Mathematics) is a division of Th ...
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Yangian
In representation theory, a Yangian is an infinite-dimensional Hopf algebra, a type of a quantum group. Yangians first appeared in physics in the work of Ludvig Faddeev and his school in the late 1970s and early 1980s concerning the quantum inverse scattering method. The name ''Yangian'' was introduced by Vladimir Drinfeld in 1985 in honor of C.N. Yang. Initially, they were considered a convenient tool to generate the solutions of the quantum Yang–Baxter equation. The center of the Yangian can be described by the quantum determinant. Description For any finite-dimensional semisimple Lie algebra ''a'', Drinfeld defined an infinite-dimensional Hopf algebra ''Y''(''a''), called the Yangian of ''a''. This Hopf algebra is a deformation of the universal enveloping algebra ''U''(''a'' 'z'' of the Lie algebra of polynomial loops of ''a'' given by explicit generators and relations. The relations can be encoded by identities involving a rational ''R''-matrix. Replacing it with a trigo ...
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Lie Algebra
In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g, that satisfies the Jacobi identity. The Lie bracket of two vectors x and y is denoted [x,y]. The vector space \mathfrak g together with this operation is a non-associative algebra, meaning that the Lie bracket is not necessarily associative property, associative. Lie algebras are closely related to Lie groups, which are group (mathematics), groups that are also smooth manifolds: any Lie group gives rise to a Lie algebra, which is its tangent space at the identity. Conversely, to any finite-dimensional Lie algebra over real or complex numbers, there is a corresponding connected space, connected Lie group unique up to finite coverings (Lie's third theorem). This Lie group–Lie algebra correspondence, correspondence allows one ...
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Sydney School Of Mathematics And Statistics
Sydney ( ) is the capital city of the state of New South Wales, and the most populous city in both Australia and Oceania. Located on Australia's east coast, the metropolis surrounds Sydney Harbour and extends about towards the Blue Mountains to the west, Hawkesbury to the north, the Royal National Park to the south and Macarthur to the south-west. Sydney is made up of 658 suburbs, spread across 33 local government areas. Residents of the city are known as "Sydneysiders". The 2021 census recorded the population of Greater Sydney as 5,231,150, meaning the city is home to approximately 66% of the state's population. Estimated resident population, 30 June 2017. Nicknames of the city include the 'Emerald City' and the 'Harbour City'. Aboriginal Australians have inhabited the Greater Sydney region for at least 30,000 years, and Aboriginal engravings and cultural sites are common throughout Greater Sydney. The traditional custodians of the land on which modern Sydney stands are t ...
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Sydney Faculty Of Science
The University of Sydney (USYD), also known as Sydney University, or informally Sydney Uni, is a public research university located in Sydney, Australia. Founded in 1850, it is the oldest university in Australia and is one of the country's six sandstone universities. The university comprises eight academic faculties and university schools, through which it offers bachelor, master and doctoral degrees. The university consistently ranks highly both nationally and internationally. QS World University Rankings ranked the university top 40 in the world. The university is also ranked first in Australia and fourth in the world for QS graduate employability. It is one of the first universities in the world to admit students solely on academic merit, and opened their doors to women on the same basis as men. Five Nobel and two Crafoord laureates have been affiliated with the university as graduates and faculty. The university has educated eight Australian prime ministers, including i ...
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University Of Sydney
The University of Sydney (USYD), also known as Sydney University, or informally Sydney Uni, is a public research university located in Sydney, Australia. Founded in 1850, it is the oldest university in Australia and is one of the country's six sandstone universities. The university comprises eight academic faculties and university schools, through which it offers bachelor, master and doctoral degrees. The university consistently ranks highly both nationally and internationally. QS World University Rankings ranked the university top 40 in the world. The university is also ranked first in Australia and fourth in the world for QS graduate employability. It is one of the first universities in the world to admit students solely on academic merit, and opened their doors to women on the same basis as men. Five Nobel and two Crafoord laureates have been affiliated with the university as graduates and faculty. The university has educated eight Australian prime ministers, including ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ...
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Australian Mathematicians
Australian(s) may refer to: Australia * Australia, a country * Australians, citizens of the Commonwealth of Australia ** European Australians ** Anglo-Celtic Australians, Australians descended principally from British colonists ** Aboriginal Australians, indigenous peoples of Australia as identified and defined within Australian law * Australia (continent) ** Indigenous Australians * Australian English, the dialect of the English language spoken in Australia * Australian Aboriginal languages * ''The Australian'', a newspaper * Australiana, things of Australian origins Other uses * Australian (horse), a racehorse * Australian, British Columbia, an unincorporated community in Canada See also * The Australian (other) * Australia (other) * * * Austrian (other) Austrian may refer to: * Austrians, someone from Austria or of Austrian descent ** Someone who is considered an Austrian citizen, see Austrian nationality law * Austrian German dialect * Someth ...
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