On the structure of $End_{u_k(2)}(Ω_k^{\otimes r})$

Details On the structure of $End_{u_k(2)}(Ω_k^{\otimes r})$ On the structure of $End_{u_k(2)}(Ω_k^{\otimes r})$

2011-08-13

arxiv.org/abs/1108.2744v1

Journal of Mathematical Physics, 2011

Mathematics

Representation Theory

Scientific paper

10.1063/1.3614778

Let $u_k(2)$ be the infinitesimal quantum $\frak{gl}_2$ over $k$, where $k$
is a field containing an $l$th primitive root $\epsilon$ of 1 with $l\geq 3$
{\it odd}. We will determine the basic algebra for ${u_k(2)}(\Omega_k^{\otimes
r})$, where $\Omega_k$ is the natural module for $u_k(2)$.

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