Il gruppo di Poincarè

Gruppo di Poincare-

IO ( 1,3 ) → TO ( 1,3 )+

I 04,3 ) IX ↳ X '

= Nxt bdet = I def - I

C- Me ,

b E Me,

Costain ozfocrono

X ↳ X + aKastoria

.

te traitors otitis - w guys abelian

T (4) = TH ) x TH ) x Till x TH )

Fun.

aoebaxibasj.EE

Ilguy delle tastes .

- I cm whoop di

Iof1,3 ) TH ) GIO 11,3 )

T (4) GIO ( 1,3 )E '

un soltogmye invariant

ATM' ? x t ' N' x t , N' xtbtsnttxtnb = xtnb

ATA- '

= T I Ab )b

T → RCT ) Esempio?

b- " -

\,

corpse

2- ppumtatoI I > ( Ily ' 7=8

?

C ± - ± ySullo Spano di Hilbert

dye. stat . . F±

I ± ) ¥ I Itb )

Fees = IsoI I,

= Ii '

E'

ma happenstance d- T ( 3)

Si pas tune goal i il rialto della tastes son w fest guelsm-

Tel y > Ifa 's Ce 147 try = Idk ' It 4) I Itt ) =

± is ± + be

= f di ' CI ' -114 > leg ⇒ 441 - ' Y' Cei

tab che 44×1=4 ( I -be )

( ± IIe 147 = C Fix 14 > = CF ¥141 = s ± - tells

Generator. I( o , = I-

I; IEEE = TeTI =

The E. Ii

2¥' = I. I c - is ⇒ Fe = e

- i

E.b-

III. -

- I . 5. til

,

"

,

t

4 C x - k ) = 4 HI - 17461 . be + I 2.74 let . bib.

. .. .

= I e- ! . D

.I C y ) I =- it

T (4) Fb = e" b

we sense delle metric thinuoswkiane

eipoboe-iE.be

Relation di commutativeTO ( 13 ) ! T (4) 5011,3 JT

-

ei P . be

- ion Jey,

Vale solo se fab di 2appusutm.ae hell'

algebra di Lie

Jsa es .

eip.be - it" Fm 12

ten es . AT . A'

= Tab ~ IF,

F- I= I

rajpemoue ab

all per . Hilbert

e- it

" Friz. eib-peioerfeyzeeihb.ph

e- if

- Friz.eib-peioerfe.ae

=eihb .

F i Afb"

I= e

- - n

2 A lol ) P,

Atoll- '

= IT Hip.

r

Tbn lb- o

n

z IA lol )Fraioli' ' =D

- '17C Iv

Tbr

.

Esme The ) ammo

I FM,Du ] = O

Esuaz.io Guided antootui d- F^ I p > se A Ip > = I Ap )-

dimootrah che dare value Ttp - I -1=45'

I ? IV

Set d .

operator irridna.me .IT Tat '

=

"

In-

ya,Jb

Done chime alternate respect a- parameter 4mV une fer vote in 4=0^ n

Tcp),Thief '

=Nico , few A=I - i Jp- i Je .

Fn tipster -- i Ho IR

III.Ego) = - ( Je .IR C Je .I=ifg , .

- i Eg,

⇒ III. In I -- is :&,

a - i Fg,

.R=igµP - ig,.PT

[ 5,,5

.] = o [ 5µF

,] -

- ig.ir - ig*§

I Fi,

I ;]= i Eijupu I to,

Ii3=0

~

say .

^

Sica-

Ki =

Jiowhose

n ~n

- ~ . n .

[ Ki,

P.

) = - i Pi Lk '

,p

' ] = - Sip '

Shift dei generator-

Consider.

am T ( a) A Tca ,- I X H x - a ↳ Ax - Aa to Ax - ( Aa - a )

= A ( x - a ) t a

= THI- A) a) n

Se ora sawan A = e- if Jiu

e few .am la devote in 4--0 motif .

we ki

~ ~~ ~

Tla ) JMT la )- ' eizm.etiP.lt-MoMa !

, ? Tw =

= In -

Iq .CI-Neha -

FI,

In

t¥HlaI/=Em - if , Years Fa =

01--0

== I

,

- i (

isfgup-ifg.us/dPa--JiwtapPu-auPp-

Yaya,