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Lie theory and generating functions

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LIE TIEOY M GENERATING 9UWTIO?8

VITA JAIN

TMsie submitted to the Indian Institute of Tectnlof► DeIM for the xd of the L)egroe at

aoctor at Philo9opIW

D epprtaeM of Methen!*USs

Ian I Altute of Ttsoo, Deli

n ary 1974

(2)

CE PICA

this is to

*erUtr teat the thesis cntU&st '

Us

Th s GHatin$ *tisM to bMai * tt

rss9unttsJstafor the azd of e d ee .t DSet.r o`

*Lio (NAB s) to 00 X n 1nstLtuto ! 'SOON

Dom,s a roxd ot bQ*fld. Pet # lost

bees do4 lost ti s * but; S

The

this mks resehdthe staaisrd A1IUIUa* thO resiimts at the rlses rdating to the dee r.lts sbtaind Ia this thesis Mv. mt bees ttd to ar ether wtheest or £t&W tee the esss at air 4se

or aty►as~.

D4fet upt,

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~'aweaafM~i

t

(4)
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ram

RuF c

1.2

*

#ar%* 4 MfM1 1.3

44 *U F-- Iyrn1A

as

103 a*i

G 'L T1 FUWI%Uti 0. -0 tJIt

LI ik IFS 22 0'

3.1 L pet t1zgtLon. g ad

ThWdami 22

3.2 3oo 14e rips us d

'heir

3 w

1 A2s 3 us

3.4

Lam'

9AffWe

i

1 m 32

2203 c'øt3ona

2.6 upUf&el LuWre lbtct

2.

? *p,*sOQt ucUcn 2.$ U* JibL !!1

3.9 4 $tL+d lu .rre 1Iut1ass tf

ea Rome

I

U

E

of

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GENIRAY1NG PUICTI BSS) ON ORTWOOt 4. PROPERTY OF E NAW

fl1 P INCTIO 90.. 139

361 Te o►remi ftr (►tain1ns the Genera.

ti g Relations for Pi'ockict

sau~e~ae 90

3.2 Linear GeneratIng airntlone 93 3.3 UUnear Generating A*zctions 0

3.4 DilaternI Generating *twtJoss 16

Rete ees 157

1Y GENERATINGPUNC' 'i)l ItNUYING JO NI JU.YNCatS

491 Single series Generating

Ruicttors

4.2 Doable Series Generating

znctiona

Retereue.

Y GENEM, T CREI ON GEN :'*TINT

RtraUa s

Theorem %„1 on biter Generating Ainctions

Theorem 5.2 on Linear berating fictions

Thy 5.3 on Linear Generating fi09*40"

110-160 to

152 160

1,#

161

173 176

References

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