[sage-gsoc] Re: [GSOC] -> Lie superalgebras

2018-03-14 Thread tscrim
Dear Tiberiu,

Regarding your questions about my experience with representation theory and
> algebra i have been a part of some teams that are working with concept from
> this fields and i think i have a strong base. I do not know how deeply 
> immersed
> in this concepts you want me to be and i think the best idea for me and 
> this
> project as well is for us to have a discussion to better understand your 
> needs
> and also it will be a good opportunity for you to evaluate my knowledge of 
> the
> field. 
>
 
Some of the things that would be good to know going in are:

   - the definition of Lie (super)algebras,
   - linear algebra,
   - the universal enveloping algebra, 
   - (Z/2Z) graded algebras,
   - more linear algebra,
   - the basic Lie superalgebras,
   - definition of a Lie superalgebra representation,
   - even more linear algebra,
   - how the category framework in Sage works (not necessarily as 
   programmed, but how to utilize it),
   - abstract linear algebra.
   
However, things will in part depend on how well you convince me in your 
proposal that you have the requisite mathematical background and maturity 
to tackle this. Since this is primarily a coding program, I expect that a 
relatively small amount of time during the actual GSoC period is devoted to 
learning the necessary material.


> PS: I have send an request to tracker to start solving tickets but it has 
> not
> been approved.  What should i do?
>
> These things can take a little bit of time since it requires a human to 
approve it. If this has not been approved by, say, Friday, send me an 
e-mail.

Best,
Travis

 

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[sage-gsoc] Re: [GSOC] -> Lie superalgebras

2018-03-08 Thread tscrim
Dear Tiberiu,
   While I am not an expert on quantum computing, nor do I know the full 
reach of Lie superalgebras, I am unaware of how quantum computing and Lie 
superalgebras are related. Now Lie superalgebras have strong connections 
with quantum field theory, that is far beyond the scope of what I was 
thinking and would likely be something that would be built upon the 
framework developed here at a much later date. In fact, I'm not sure how 
much we can even compute using Lie algebras and QFT/CFT.

I believe this project needs is also someone who fully understands linear 
algebra and has experience with representation theory (of algebras) in 
order to be successful. In particular, most of the algorithms are build 
around linear algebra. I would prefer someone who has seen graded algebras 
and/or Lie (super)algebras in some from as well. Now I believe you need a 
strong background in linear algebra for quantum computing, what your 
proposal will need to do more so is convince me that you have the 
representation theory and algebra knowledge to be successful.

Best,
Travis


On Wednesday, March 7, 2018 at 8:03:32 AM UTC-6, Lepadatu Tiberiu Andrei 
wrote:
>
> Hi,
>
> I am Tiberiu Lepadatu, a second year student at the UPB, Romania. I have a 
> strong 
> interest in numerical methods and mathematics. My interest in mathematics  
>   
> derives form my interes in quantum computation. Right now i am doing a 
> masters   
> course in quantum computing. I am actively involved in numerical methods  
>   
> research and i love reading about what new things have been developed. I 
> have
>   
> discovered your project by looking for a better alternative for Octave 
> for  
> research purposes. I have an interest in applied mathematics and i think 
> that a   
> tool for Lie superalgebra is imperative providing that the quantum field 
> is 
> becoming to be the center of debate for the scientific comunity. I have 
> started  
> looking through the sage code and i thing that i have a brod understanding 
> of   
> how it works. I also started learning cython (i am quite good in c and 
> python so  
> this should not be something to hard). I think that an good implementation 
> of   
> Lie super algebras will be an interesting topic to follow and i will be 
> honored  
> if you give me the chance to do it over the summer as part of gsoc. Last 
> year I   
> was working last year almost everyday for nautilus (gnome file manager, 
> written  
> in C). Not as part GSOC but rather as a hobby. I feel like it is a quick  
>
> language to develop in. Also giving my academic background i feel that i 
> can
> learn new things pretty fast.  
>   
>   
>
> Kind regards,
> Tiberiu Lepadatu 
>
> PS: Sorry for the spelling errors, English is not 
> my mother tongue and i am quite dyslexic.  
>  
>

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