List of finite groups of Lie type and their BN-pairs

Question

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.

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.

user32240 · Accepted Answer · 2013-01-13 11:59:46Z

up vote 2 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).

edited Jan 13 at 11:59

answered Jan 12 at 14:05

user32240
4,8461321

	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 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. – user32240 Jan 13 at 12:02

asked	4 months ago
viewed	53 times
active	4 months ago

List of finite groups of Lie type and their BN-pairs

1 Answer

Your Answer

Not the answer you're looking for? Browse other questions tagged group-theory reference-request groups-of-lie-type or ask your own question.

Community Bulletin

List of finite groups of Lie type and their BN-pairs

1 Answer

Your Answer

Sign up or log in

Post as a guest

Not the answer you're looking for? Browse other questions tagged group-theory reference-request groups-of-lie-type or ask your own question.

Community Bulletin

Related