On generalized Steinberg theory for type AIII
نویسندگان
چکیده
The multiple flag variety
منابع مشابه
On Extensions of generalized Steinberg Representations
Let F be a local non-archimedean field and let G be the group of F valued points of a connected reductive algebraic group over F. In this paper we compute the Ext-groups of generalized Steinberg representations in the category of smooth G-representations with coefficients in a certain self-injective ring. AMS 2000 Mathematics subject classification: Primary 22E50. Secondary 11F70.
متن کاملQuadratic Algebras of Type Aiii
We study some quadratic algebras related to quantized matrix algebras. Our point of view is that of non-commutative algebraic geometry 1].
متن کاملQuadratic Algebras of Type Aiii; Ii
This is the second article in a series of three where we study some quadratic algebras related to quantized matrix algebras. In here, we study the algebra M q (2) by elementary methods and construct the simple modules and the primitive ideals. We relate this to Artin's programme of non-commutative algebraic geometry ((1]), in particular, we determine the point and line modules of this algebra.
متن کاملTensoring Generalized Characters with the Steinberg Character
Let G be a reductive connected algebraic group over an algebraic closure of a finite field of characteristic p. Let F be a Frobenius endomorphism on G and write G := G F for the corresponding finite group of Lie type. We consider projective characters of G in characteristic p of the form St ·β, where β is an irreducible Brauer character and St the Steinberg character of G. Let M be a rational G...
متن کاملGeneralized Rewriting in Type Theory
While type theories such as Nuprl are expressive logics for theorem proving, they present diiculties for designers of term rewriting systems. The two most serious diiculties are: 1) They do not provide a global equality. Instead users rewrite over arbitrary user-deened relations. 2) Each rewrite step must be proved valid. In general, these proofs cannot be recursively generated. We have overcom...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic combinatorics
سال: 2023
ISSN: ['2589-5486']
DOI: https://doi.org/10.5802/alco.245