be the polynomial ring in n variables over a field K. We fix 1 2 n ลฝ . an integer d and a sequence a s a , a , . . . , a of integers with 1 F a F a F ลฝ . sequences a and integers d for which the algebra A a; d is Gorenstein. แฎ 1997 Academic Press each 1 F i F n. Such an algebra is called an algebra
Gorensteinness of Invariant Subrings of Quantum Algebras
โ Scribed by N Jing; J.J Zhang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 173 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
We prove Auslander-Gorenstein and GKdim-Macaulay properties for certain invariant subrings of some quantum algebras, the Weyl algebras, and the universal enveloping algebras of finite-dimensional Lie algebras.
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AND BUrt Totaro \({ }^{8}\) Department of Mathematics, University of Chicago, Chicago, Illinois 60637
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