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as the title states I am looking for a list of classical groups (or perhaps finite groups of Lie type) and their respective BN-pairs (or isomorphism type of the respective Weyl group).

A quick Google search doesn't yield anything useful.

Thanks in advance for any help.

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Take a look at "The Geometry of Classical Groups" by Donald E. Taylor. It's quite readable, and you can find descriptions of the BN-pairs for all classical groups there. – j.p. Jan 12 '13 at 16:54
up vote 3 down vote accepted

The book by Bourbaki, Lie groups and Lie algebras, has a full Chapter on Tits systems in Chapter 4-6. You may find google books as a reference. Note Bourbaki is also the canonical reference for anything related to Lie algebra(Serre and Humphrey's books are all based on Bourbaki, to my knowledge).

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Thanks. Actually I was rather looking for a nice list (i.e. all the information I need on one page). But at least the book contains all facts even if you have to gather them by hand... – Sebastian Schoennenbeck Jan 13 '13 at 11:59
I suspect Fulton and Harris may have something along the line; but they worked on classical Lie algebra instead, so I do not know. I could not find "the geometry of classical groups" online, so I hope it is there. – Bombyx mori Jan 13 '13 at 12:02

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