𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Lectures on Frobenius splittings and B-modules

✍ Scribed by Van Der Kallen W.

Publisher
Springer
Year
1993
Tongue
English
Leaves
112
Series
Tata Institute Lectures on Mathematics and Physics
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

The course given by the author at the Tata Institute in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of (tensor products of) "standard" representations; while Demazure studied the representations by means of a particular resolutionof singularities of Schubert varieties, the method of Mathieu involves sheafcohomology and "Frobenius splittings" on a Demazure resolution in finite characteristic p. The notes explain all this, but assume some familiarity with algebraic varieties and semisimple algebraic groups (or Liegroups).

πŸ“œ SIMILAR VOLUMES

Lectures on Frobenius Splittings and B-M
πŸ“ Lectures on Frobenius Splittings and B-Modules
✍ Wilberd van der Kallen (auth.) πŸ“‚ Library πŸ“… 1993 πŸ› Springer Berlin Heidelberg 🌐 English

The course given by the author at the Tata Institute in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of (tensor products of) "standard" representations; while Demazure studied t

Frobenius Splitting Methods in Geometry
πŸ“ Frobenius Splitting Methods in Geometry and Representation Theory
✍ Michel Brion, Shrawan Kumar (auth.) πŸ“‚ Library πŸ“… 2005 πŸ› BirkhΓ€user Basel 🌐 English

<p><P>The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments.</P><P></P><P>Key features:</P><P></P><P>* C

Lectures on Modules and Rings
πŸ“ Lectures on Modules and Rings
✍ T. Y. Lam (auth.) πŸ“‚ Library πŸ“… 1999 πŸ› Springer-Verlag New York 🌐 English

<p>Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was t