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I've randomly acquired from Tits just a few of his resumes: 1979-80 (Bruhat-Tits work), 1980-81 (Kac-Moody algebras and groups), 1990-91 (Galois cohomology of semisimple groups over global fields). …

I think what you refer to as a pseudonymous paper is actually an anonymous note Correspondence, by XXX in Italian(!), which Weil composed in his role as an editor of the American Journal of Mathematic …

Probably the most recent textbook which treats this material in a "modern" way is Methods of Representation Theory I (Wiley Interscience, 1981) by Curtis and Reiner. Combined with its volume II, th …

Much (but not quite all) of what you want is written down clearly in the mostly equivalent language of algebraic groups and homogeneous spaces by Birger Iversen and Robert Fossum. I'll give the jour …

As Nick points out, the classes are well documented in the literature. An old paper by Frame and Simpson, with free online access here, is a convenient source. (This paper was in fact reviewed by …

The representation theory has been developed by a number of people, including Jon Brundan and Sasha Kleschchev at U. Oregon. Take a look at the publication list Brundan has (with PDF files) on his …

If $T$ is taken to be a maximal torus of $G$ lying in $B$, the question may be reformulated using the set-up in 1.1-1.2 of the fundamental paper: Representations of Reductive Groups Over Finite Fields …

The question presupposes the existence of some standard letters and notations of mathematical objects, which I'm doubtful about in many research areas. My experience with subjects that have a long …

This is too long for a comment, but like others who have commented I don't expect to find anything like a "complete proof" of the Borel-Tits theorem written in English. Borel and Tits have each wri …

Your question involves a complex (semi)simple Lie group, I guess, and its Dynkin diagram. The topology of Lie groups and their homogeneous spaces $G/P$ (such as Grassmannians) is an old and rich sub …

As far as I know this type of classification problem has attracted very limited attention over the years. That's probably due in part to lack of enough external motivation, coupled with the cautiona …

I'm not aware of any reasonable analogue of the nilpotent variety (or related theory of associated varieties) in this infinite dimensional setting. But you may get some inspiration from the work of …

The answer to your question is basically no. Given the vintage of Weil's paper, you can't expect his statement to occur in this form in later books or even lecture notes on algebraic groups. Weil w …

It would help to clarify the context of "Chevalley group" here, but over any field one gets uniform results by starting with a Chevalley basis for the associated complex Lie algebra. The commutation …

It's probably useful to compare the other questions recently asked here by Sara, which are sometimes stimulating but typically not well formulated or motivated: for example here. Like the other qu …