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 Post subject: Help me in proving an interesting result
PostPosted: Wed, 25 Aug 2010 15:36:51 UTC 
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Sir my supervisor give me a special type of graph. Corresponding to each vertex of graph there exist a polynomial(BY RULE). My graph has 15 verteices. So i find15 polynomial after very lenghty calculations. Its Very interesting for me all 15 polynomials were the same. So we find a very good result for given graph that "There exists a unique polynomial for each vertex of the Graph(say g)". Can anybody give me a slight idea that how i prove this result mathematically. I will be very thankful.


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 Post subject: Re: Help me in proving an interesting result
PostPosted: Wed, 25 Aug 2010 16:35:33 UTC 
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maken83 wrote:
Sir my supervisor give me a special type of graph. Corresponding to each vertex of graph there exist a polynomial(BY RULE). My graph has 15 verteices. So i find15 polynomial after very lenghty calculations. Its Very interesting for me all 15 polynomials were the same. So we find a very good result for given graph that "There exists a unique polynomial for each vertex of the Graph(say g)". Can anybody give me a slight idea that how i prove this result mathematically. I will be very thankful.


I don't understand what you are asking, and I suspect nobody will, based on that description.

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\begin{aligned}
Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\
Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\
Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\
Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\
Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\
Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4
\end{aligned}


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 Post subject:
PostPosted: Wed, 25 Aug 2010 17:03:37 UTC 
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Do you know someone who could post your problem in correct English?
Plus include a diagram as clarification?

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Walked over to a beggar...he gave me a quarter...


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