单位根上的半量子群、路代数与表示型
Half-quantum groups at roots of unity, path algebras and representation type
摘要：
证明了具有对称Cartan矩阵的单李代数的单位根上的有限维半量子群除sl 2外都是Wild表示型的。此外，底层结合代数同构于交换群的Cayley图的路代数的容许商。量子型傅里叶变换使得能够描述显式同构。
英文摘要：
We show that finite dimensional half-quantum groups at roots of unity corresponding to simple Lie algebras having symmetric Cartan matrix are of wild representation type, except for sl_2. Moreover, the underlying associative algebra is isomorphic to an admissible quotient of the path algebra of the Cayley graph of an abelian group. A quantum type Fourier transform enables to describe an explicit isomorphism.
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