Article ID Journal Published Year Pages File Type
5771968 Journal of Algebra 2017 25 Pages PDF
Abstract
For a simple complex Lie algebra g, a non-root of unity q≠0 in an infinite field K, and an element w of the Weyl group of g, De Concini, Kac, and Procesi have constructed a subalgebra Uq[w] of the quantised enveloping K-algebra Uq(g). These quantum Schubert cells are known to satisfy the Dixmier-Moeglin equivalence and we show that they in fact satisfy the strong Dixmier-Moeglin equivalence. Along the way, we show that commutative affine domains, uniparameter quantum tori, and uniparameter quantum affine spaces satisfy the strong Dixmier-Moeglin equivalence.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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