Representations of the coordinate ring of GL q (3)

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - t h / 93 05 08 5 v 2 1 2 Ju n 19 93 Representations of The Coordinate Ring of GL q ( 3 )

It is shown that the finite dimensional ireducible representations of the quantum matrix algebra Mq(3) ( the coordinate ring of GLq(3) ) exist only when q is a root of unity ( q = 1 ). The dimensions of these representations can only be one of the following values: p3 , p 3 2 , p 4 , or p 8 . The topology of the space of states ranges between two extremes , from a 3-dimensional torus S1 × S1 × ...

متن کامل

Representations of Gl 2 (f Q )

In order to explore Representation Theory as a logical follow-up to group theory, I attempt to enumerate the irreducible representations of GL2(Fq). In order to do so, I first introduce the idea of a representation and provide a simple example. Next, I prove the existance of an irreducible decomposition for a given representation and introduce a useful result of characters. Finally, four types ...

متن کامل

TAME REPRESENTATIONS OF THE GROUP GL ( ∞ , F q )

A complete classification of irreducible tame representations of the group G(∞) = lim −→ is presented. Here G(n) = GL(n,Fq) is the group of nonsingular matrices of order n over the finite field Fq . Basic notation. Let G(n) = GL(n,Fq) be the group of nonsingular matrices of order n over the finite field Fq (q = p, where p is a prime number). For each n ≥ 2, we identify G(n− 1) with the subgroup...

متن کامل

Reducible Galois representations and the homology of GL(3,Z)

Let F̄p be an algebraic closure of a finite field of characteristic p. Let ρ be a continuous homomorphism from the absolute Galois group of Q to GL(3, F̄p) which is isomorphic to a direct sum of a character and a two-dimensional odd irreducible representation. Under the condition that the Serre conductor of ρ is squarefree, we prove that ρ is attached to a Hecke eigenclass in the homology of an a...

متن کامل

QUANTUM gl ∞ , INFINITE q - SCHUR ALGEBRAS AND THEIR REPRESENTATIONS JIE

In this paper, we investigate the structure and representations of the quantum group U(∞) = Uυ(gl∞). We will present a realization for U(∞), following Beilinson–Lusztig–MacPherson (BLM) [1], and show that the natural algebra homomorphism ζr from U(∞) to the infinite q-Schur algebra S(∞, r) is not surjective for any r > 1. We will give a BLM type realization for the image U(∞, r) := ζr(U(∞)) and...

متن کامل

ذخیره 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: Letters in Mathematical Physics

سال: 1993

ISSN: 0377-9017,1573-0530

DOI: 10.1007/bf00745152