Prime Ideals and Subalgebras of Noetherian Hopf Algebras

9623579 Letzter该奖项支持E. Letzter教授在非交换环理论方面的研究工作，特别强调量子群理论引起的问题。特别是，Letzter教授将研究有限生成的非计算Noetherian双代数、Hopf超代数和迭代斜多项式环中的素数理想和原始理想。他希望将这项工作应用于研究单位根情况下的多参数量子函数代数。这是代数子领域的研究，叫做非交换环理论。代数可以被认为是对抽象对称的研究。因此，代数在物理和化学领域有直接的应用。事实上，许多非交换环理论推广了量子力学中发现的结构，而这一提议继续探索与现代量子场论直接相关的领域。

9623579 Letzter This award supports the research of Professor E. Letzter to work in non-commutative ring theory with special emphasis on problems arising from the theory of quantum groups. In particular, Professor Letzter will study prime and primitive ideals in finitely generated noncomutative Noetherian bialgebras, Hopf superalgebras, and iterated skew polynomial rings. He hopes to apply this work to studying multiparametric quantum function algebras in the root-of-unity case. This is research in the subfield of algebra called non-commutative ring theory. Algebra can be thought of as the study of symmetry in the abstract. As such, algebra has direct applications to areas of physics and chemistry. In fact, much of non-commutative ring theory generalizes structures found in quantum mechanics and this proposal continues to explore areas that connect directly with modern quantum field theory.