FRT的构造与量子线性空间
FRT Construction and Equipped Quantum Linear Spaces
摘要：
我们证明了存在一个由量子线性空间构成的刚性幺半范畴，使得FRT双代数和相应的矩形推广分别是它的内部coEnd和coHom对象.这使我们能够把它们看作保持上述结构的同态量子空间的坐标环。FRT双代数和量子半群（由Manin定义）之间众所周知的满态映射转化为量子空间的“包含”，因为度量线性空间V的自同态空间包含在gl（V）中。我们的研究是在圆锥量子空间中展开的。
英文摘要：
We show there exists a rigid monoidal category formed out by quantum linear spaces with an additional structure, such that FRT bialgebras and corresponding rectangular generalizations are its internal coEnd and coHom objects, respectively. This enable us to think of them as the coordinate rings of a quantum space of homomorphisms that preserve the mentioned structure. The well known epimorphisms between FRT bialgebras and quantum semigroups (defined by Manin) translate into `inclusions' of quantum spaces, as the space of endomorphisms of a metric linear space V is included in gl(V). Our study is developed for conic quantum spaces.
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