Department of Mathematics          University of Haifa
 
                            Mathematics Club
 
Speaker: Dr. Anna Melnikov
         Weizmann Institute of Science
 
Title:   Symmetric groups and Young tableaux
 
Date:    Tuesday, December 10, 2002
 
Place:   Room 1621 Brazil Building of Science and Education
         Univ. of Haifa
 
Time:    12:10 PM
 
             Abstract:
 
    A Young diagram (of order n) is an array of n cells arranged in
k rows in such a way that the length of i-th row is not greater
than the length of (i-1)-th row. In other words a Young diagram
of order n is a visualization of a partition of n.
Fill the cells of a Young diagram of order n with numbers 1,2,...,n
in such a manner that numbers increase in rows from left to right and
in columns from top to bottom. Such an array is called a Young
tableau of order n.
 
We discuss the algorithms connecting the symmetric group S_n with the
set of all Young diagrams of order n and the set of all Young
tableaux of order n. Further we show the important role of Young
diagrams and tableaux in representation theory of S_n and discuss
the information about elements of S_n that could be obtained from
Young tableaux.
 
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For further information, or to be put on our mailing list, contact:
 
David Blanc   (tel. 8249758, room 1609, e-mail blanc@math.haifa.ac.il)
or Kobi Peter (tel. 8240354, room 1610, e-mail kobi@math.haifa.ac.il)
 
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TechnionMathNet2 TECHMATH2 Editor:Michael Cwikel<techm@math.technion.ac.il>
Announcement from: David Blanc <blanc@math.haifa.ac.il>