Representation theory of finite groupsThe representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations of groups on vector spaces. Nevertheless, groups acting on other groups or on sets are also considered. For more details, please refer to the section on permutation representations. Other than a few marked exceptions, only finite groups will be considered in this article. We will also restrict ourselves to vector spaces over fields of characteristic zero.
Green's relationsIn mathematics, Green's relations are five equivalence relations that characterise the elements of a semigroup in terms of the principal ideals they generate. The relations are named for James Alexander Green, who introduced them in a paper of 1951. John Mackintosh Howie, a prominent semigroup theorist, described this work as "so all-pervading that, on encountering a new semigroup, almost the first question one asks is 'What are the Green relations like?'" (Howie 2002).
Group representationIn the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication. In chemistry, a group representation can relate mathematical group elements to symmetric rotations and reflections of molecules.
Sept-Îles, QuebecSept-Îles (Quebec French pronunciation : sɛ.t͡s‿ɪl, French for "Seven Islands") is a city in the Côte-Nord region of eastern Quebec. It is among the northernmost locales with a paved connection to the rest of Quebec's road network. The population was 25,686 as of the 2011 Canadian census. The town is called Uashat, meaning "bay" in Innu-aimun. The city is well known for having major iron companies like Iron Ore Company of Canada and the Cleveland-Cliffs mining company. The city relies heavily on the iron industry.
Martha Reeves (anchorite)Martha Reeves (born 1941) is a vowed Anglican solitary (or anchorite), with Rowan Williams, the former Archbishop of Canterbury, as bishop-protector. A graduate of the Madeira School (Class of 1959), she is also a Stanford-educated professor of theology who has written numerous articles and books under the name "Maggie Ross" as well as translated a number of Carthusian Novice Conferences. Reeves, at one time Desmond Tutu's spiritual director, was Bell Distinguished Professor in Anglican and Ecumenical Studies appointed to the Department of Philosophy and Religion, Kendall College of Arts and Sciences, The University of Tulsa.
September 2848 BC – Pompey disembarks at Pelusium upon arriving in Egypt, whereupon he is assassinated by order of King Ptolemy XIII. 235 – Pope Pontian resigns. He is exiled to the mines of Sardinia, along with Hippolytus of Rome. 351 – Constantius II defeats the usurper Magnentius. 365 – Roman usurper Procopius bribes two legions passing by Constantinople, and proclaims himself emperor. 935 – Duke Wenceslaus I of Bohemia is murdered by a group of nobles led by his brother Boleslaus I, who succeeds him.
Group actionIn mathematics, a group action on a space is a group homomorphism of a given group into the group of transformations of the space. Similarly, a group action on a mathematical structure is a group homomorphism of a group into the automorphism group of the structure. It is said that the group acts on the space or structure. If a group acts on a structure, it will usually also act on objects built from that structure. For example, the group of Euclidean isometries acts on Euclidean space and also on the figures drawn in it.
Dieges & ClustDieges & Clust were jewellers established in New York in 1898 by Col. Charles Joseph Dieges (b. Oct. 26, 1865-d. Sept. 14, 1953) and Prosper Clust (b. Sept. 26, 1873-d. Mar. 28, 1933). The firm was founded in 1898 as a partnership between Charles Joseph Dieges and Prosper Clust. The partnership was converted to a company in 1908 with Dieges as president and director, and with Clust as secretary-treasurer and director. The firm was located at 20 John Street, New York, New York, expanding to have offices in Boston, Pittsburgh, and Chicago.
Ken GoodmanKenneth Goodman (December 23, 1927 - March 12, 2020) was Professor Emeritus, Language Reading and Culture, at the University of Arizona. He is best known for developing the theory underlying the literacy philosophy of whole language. Goodman began teaching at Wayne State University in 1962. His research focused on reading in public schools. While at Wayne State University, Goodman developed miscue analysis, a process of assessing students' reading comprehension based on samples of oral reading.
Kecskeméti TEKecskeméti Testedző Egyesület, commonly known as Kecskeméti TE or simply Kecskemét, is a sports club based in Kecskemét, Hungary. It is most famous for its football team which competes in the Nemzeti Bajnokság I, the first tier of Hungarian football. Kecskeméti TE's highest achievement to-date is winning the Magyar Kupa in the 2010–11 season, and gaining entry into the Europa League. The team won a silver medal right after its promotion back to the first league in 2022-23, earning the right to compete in the Europa Conference League qualification matches.
University of Toronto SchoolsUniversity of Toronto Schools (UTS) is an independent secondary day school affiliated with the University of Toronto in Toronto, Ontario, Canada. The school follows a specialized academic curriculum, and admission is determined by competitive examination. UTS is associated with two Nobel Prize laureates. University of Toronto Schools was founded in 1910 as a "practice school", also known as a laboratory school, for the University of Toronto's Faculty of Education.
Día Mundial de PonceInfobox holiday |holiday_name = Día Mundial de Ponce |image = Logo of Día Mundial de Ponce 2012.jpg |caption = Logo of Día Mundial de Ponce 2012 |official_name = Día Mundial de Ponce |nickname = |observances = Yearly |observedby = Ponceños in Ponce, Puerto Rico |type = Cultural |date = Late August or early September |date2012 = 2 September |date2013 = 21 September |date2014 = 27 September |date2015 = 27 September |date2016 = 25 Sept[ 95 La Ciudad Señorial reafirma su legado durante el Día Mundial de Ponce.
