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Topic: Young tableau

Related Topics

Ferrers diagram

Symmetric group

Irreducible representation

Partition of a set

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	Science Fair Projects - Young tableau
		In mathematics, a Young tableau is a combinatorial object useful in representation theory.
		The conjugate partition is 10 = 3 + 2 + 2 + 2 + 1.
		Young diagrams are in one-to-one correspondence with irreducible representations of the symmetric group.
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Young_tableau (846 words)

	PlanetMath: Young tableau (Site not responding. Last check: 2007-10-15)
		A filling is a semi-standard tableau if the labels monotonically increase in each row and strictly increase in each column.
		Hence a standard Young tableau is both a semi-standard tableau and a Young tableau.
		This is version 5 of Young tableau, born on 2007-03-06, modified 2007-04-17.
	planetmath.org /encyclopedia/YoungTableau.html (182 words)

	Young_Alfred biography
		Young was appointed as a lecturer in Selwyn College, Cambridge in 1901.
		Burnside, as referee of Young's papers, suggested how the papers could be written to emphasise their impact on group theory and he pointed Young towards the papers of Frobenius and Schur.
		Frobenius used Young tableaux for the first time in 1903 when he investigated representations of the symmetric group but it was not until 1906 that Young learnt of Frobenius's applications of his methods.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Young_Alfred.html (1519 words)

	Young Tableau
		A ``standard'' Young tableau is a Young tableau in which the numbers form a nondecreasing sequence along each line and along each column.
		Permutation and a pair of Young tableaux, known as the
		Bumping Algorithm is used to construct a standard Young tableau from a permutation of
	mathserver.sdu.edu.cn /mathency/math/y/y013.htm (136 words)

	Young tableau - Wikipedia, the free encyclopedia
		The conjugate partition is 10 = 3 + 2 + 2 + 2 + 1.
		Young diagrams are in one-to-one correspondence with irreducible representations of the symmetric group over the complex numbers.
		Young tableaux can be also used to construct representations of the symmetric group over arbitrary fields and to study their structure.
	en.wikipedia.org /wiki/Young_tableau (813 words)

	Random Matrices and Queues in Series
		A semi-standard Young tableau is a filling of the boxes by positive integers such that the filling is increasing rightwards in rows and strictly increasing in columns.
		The Young diagram underlying a Young tableau P is called the shape and is denoted by sh(P).
		A nice consequence of the way the tableau P is built is that the sequence of the lengths of the first rows of the embedded Young tableaux coincides with the sequence of maximal paths from (0,0) to (i,N) as i goes from 1 to M.
	pauillac.inria.fr /algo/seminars/sem00-01/baryshnikov.html (1781 words)

	Info on Permutations
		The rows are left justified, the numbers increase along rows, and the numbers increase down the columns.
		To every permutation there corresponds in a natural way a pair of tableau, both of the same shape.
		The two tableau above are the ones corresponding to the permutation 32451.
	www.theory.cs.uvic.ca /inf/perm/PermInfo.html (544 words)

	Tableaux
		A Young diagram, or Ferrers diagram, is a collection of boxes, or cells, arranged in left--justified rows, with a weakly decreasing number of boxes in each row.
		of two tableau is formed by first having a rectangle of empty squares, with the same number of columns as t1 and the same number of rows as t2.
		The content of a tableau is a sequence where the ith position denotes the number of occurrences of i in the tableau.
	www.math.niu.edu /help/math/magmahelp/text1113.html (813 words)

	Tableaux
		Given a tableau monoid M, a sequence of positive integers S which is a partition, and a sequence of non--negative integers C, then return the set of all tableau from M having shape S and content C (see section Properties for definition of content).
		Given a tableau t and a positive integer i, return the index of the last entry of the i--th row of t, which is the length of the i--th row.
		Given a tableau t and positive integers i and j such that (i, j) corresponds to an outside corner cell of the tableau t, then the row insertion algorithm is applied in reverse to remove the specified entry.
	www.umich.edu /~gpcc/scs/magma/text1174.htm (4898 words)

	[No title]
		For * example the Young* diagram of [4; 3; 1] is: * * * * * * * * An ff tableau tffis an array constructed by replacing the nodes * of the Youn* *g diagram [ff] by the integers 1; 2; : :;:n.
		tableau on the Yo* ung diagram [4; 3; 1] is: 1 5 8 7 (2.1) 4 6 3 2 The row group Rffof the tableau* tffis the subgroup of Sn consisting of those * *permutations for which the rows of tffare invariant sets.
		The (i; j)-node of * the Young* diagram [ff] is the node in the i'th row and j'th column.
	www.math.purdue.edu /research/atopology/SmithJH/idempotents.txt (2241 words)

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