YOUNGOVE TABLICE

Jelen, Nina

| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

First page > Show document

Show document

Title:	YOUNGOVE TABLICE
Authors:	ID Jelen, Nina (Author) ID Pagon, Dušan (Mentor) More about this mentor...
Files:	UNI_Jelen_Nina_2010.pdf (213,72 KB) MD5: CA12A268B4B489929ECF689B53DD2AD4 PID: 20.500.12556/dkum/f574ff16-4230-4899-bfbd-8805e1937c3b
Language:	Slovenian
Work type:	Undergraduate thesis
Organization:	FNM - Faculty of Natural Sciences and Mathematics
Abstract:	V diplomski nalogi bom predstavila Youngove tablice, ki so v upodobitveni teoriji zelo uporaben objekt. Uporabljajo pa se tudi v kombinatoriki in algebrski teoriji. So zelo priročne za upodobitev simetričnih in splošnih linearnih grup ter za preučevanje njihovih lastnosti. Veliko dejstev o upodobitvah lahko izpeljemo iz ustreznih diagramov, na primer določitev dimenzije upodobitve in omejitve upodobitve Sn na podgrupah. V obeh primerih se vidi, da veliko lastnosti upodobitve lahko razberemo že iz njene tablice. Predstavljeni so tudi poševno simetrični diagrami, ki jih dobimo z odstranjevanjem manjših Youngovih diagramov iz večjih in kako se konstruirajo nerazcepne upodobitve simetričnih grup nad poljubnim poljem. Na koncu so navedene tudi vse nerazcepne upodobitve simetrične grupe S3.
Keywords:	Youngove tablice, Youngovi diagrami, poševno simetrični diagrami, upodobitve simetričnih grup, nerazcepne upodobitve.
Place of publishing:	Maribor
Publisher:	[N. Jelen]
Year of publishing:	2010
PID:	20.500.12556/DKUM-13969
UDC:	51(043.2)
COBISS.SI-ID:	17740040
NUK URN:	URN:SI:UM:DK:UPCHZLIR
Publication date in DKUM:	08.07.2010
Views:	2584
Downloads:	252
Metadata:
Categories:	FNM
:	Copy citation

Average score:	(0 votes)
Your score:	Voting is allowed only for logged in users.
Share:

Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Secondary language

Language:	English
Title:	YOUNG TABLEAUX
Abstract:	In my thesis I present the Young tableaux, which are in the representation theory a very useful subject. They are also used in combinatorics and algebraic theory. They are very convenient for the representation of symmetric and general linear groups and they have also been usable when studying their properties. Many facts about the representations can be derived from the corresponding diagrams, such as the determination of the dimension of the representation and restriction of Sn on subgroups. In both cases one can see that many properties of the representation can already be made out from its tableaux. I have also represented skew diagrams, which are obtained by removing smaller Young’s diagrams from the larger ones and how to construct irreducible representations of symmetric groups over an arbitrary ﬁeld. In the end I have quoted all irreducible representations of symmetric group S3.
Keywords:	Young tableaux, Young diagrams, skew diagrams, representation theory of the symmetric group, irreducible representation.

Comments

Leave comment

You must log in to leave a comment.

Comments (0)

0 - 0 / 0

There are no comments!

Back