Difference between revisions of "Guide to contributing"

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At present you must be registerd to edit this site. Eventually we hope to make editing open to all. Please contact [[User:Mcbssce|Charles Eaton]] to register.
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At present you must be registered to edit this site. Eventually we hope to make editing open to all. Please contact [[User:Mcbssce|Charles Eaton]] to register.
  
 
Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.
 
Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.
  
 
There is a [[Sandbox]] to experiment with editing.
 
There is a [[Sandbox]] to experiment with editing.
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 +
When referencing a paper, please use the labelling in [[References]], and make the appropriate entry in [[References]]. When referencing, use, e.g., <pre>[[References#T|[TH85]]]</pre> which will automatically link to the start of the "T"s in the reference list.
  
 
The following is a suggested template for creating a page for a Morita equivalence class. The blockbox part should be used as given. See [[Labelling for Morita equivalence classes|this page]] for the labelling system for Morita equivalence classes. Please try to follow existing classifications for labelling where possible, for example for tame blocks try to use the ordering used in Chapter 10 of [[References|[Er90] ]].
 
The following is a suggested template for creating a page for a Morita equivalence class. The blockbox part should be used as given. See [[Labelling for Morita equivalence classes|this page]] for the labelling system for Morita equivalence classes. Please try to follow existing classifications for labelling where possible, for example for tame blocks try to use the ordering used in Chapter 10 of [[References|[Er90] ]].
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|O-morita-frob =
 
|O-morita-frob =
 
|Pic-O =
 
|Pic-O =
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|PIgroup =
 
|source? =
 
|source? =
 
|sourcereps =
 
|sourcereps =
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|coveringblocks =
 
|coveringblocks =
 
|coveredblocks =
 
|coveredblocks =
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|pcoveringblocks =
 
}}
 
}}
  
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== Other notatable representatives ==
 
== Other notatable representatives ==
 
== Covering blocks and covered blocks ==
 
 
Let <math>N \triangleleft G</math> with <math>p'</math>-index and let <math>B</math> be a block of <math>\mathcal{O} G</math> covering a block <math>b</math> of <math>\mathcal{O} N</math>.
 
  
 
== Projective indecomposable modules ==
 
== Projective indecomposable modules ==
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INFORMATION ON HEIGHTS OF IRREDUCIBLE CHARACTERS, PLUS OTHER INTERESTING INFORMATION.
 
INFORMATION ON HEIGHTS OF IRREDUCIBLE CHARACTERS, PLUS OTHER INTERESTING INFORMATION.
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== Notes ==
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 +
<references />
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FOOTNOTES WILL APPEAR HERE AUTOMATICALLY IF YOU PUT <ref>xxxx</ref> IN THE MAIN TEXT.
 
</pre>
 
</pre>
  
  
 
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== Code ==
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It is possible to use the code in [[Guide to contributing: Code]] in order to compute the Cartan matrix, decomposition matrices and the structure of the projective indecomposable modules of a given group algebra (and hence of its blocks).
  
 
== Getting started ==
 
== Getting started ==

Latest revision as of 16:32, 9 December 2019

At present you must be registered to edit this site. Eventually we hope to make editing open to all. Please contact Charles Eaton to register.

Consult the User's Guide for information on using the wiki software.

There is a Sandbox to experiment with editing.

When referencing a paper, please use the labelling in References, and make the appropriate entry in References. When referencing, use, e.g.,
[[References#T|[TH85]]]
which will automatically link to the start of the "T"s in the reference list.

The following is a suggested template for creating a page for a Morita equivalence class. The blockbox part should be used as given. See this page for the labelling system for Morita equivalence classes. Please try to follow existing classifications for labelling where possible, for example for tame blocks try to use the ordering used in Chapter 10 of [Er90] .

{{blockbox
|title = M(x,y,z) - <math>INSERT / EXAMPLE / HERE</math> 
|image = 
|representative = 
|defect =
|inertialquotients =
|k(B) =
|l(B) =
|k-morita-frob = 
|Pic-k=
|cartan = 
|defect-morita-inv? =
|inertial-morita-inv? =
|O-morita? = 
|O-morita =
|decomp =
|O-morita-frob =
|Pic-O =
|PIgroup =
|source? =
|sourcereps =
|k-derived-known? =
|k-derived =
|O-derived-known? = 
|coveringblocks =
|coveredblocks =
|pcoveringblocks = 
}}

SOME BRIEF INTRODUCTION HERE

== Basic algebra ==

'''Quiver:'''

'''Relations w.r.t. <math>k</math>:'''

== Other notatable representatives ==

== Projective indecomposable modules ==

== Irreducible characters ==

INFORMATION ON HEIGHTS OF IRREDUCIBLE CHARACTERS, PLUS OTHER INTERESTING INFORMATION.

== Notes ==

<references />

FOOTNOTES WILL APPEAR HERE AUTOMATICALLY IF YOU PUT <ref>xxxx</ref> IN THE MAIN TEXT.


Code

It is possible to use the code in Guide to contributing: Code in order to compute the Cartan matrix, decomposition matrices and the structure of the projective indecomposable modules of a given group algebra (and hence of its blocks).

Getting started