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A characterization of stable and Borel ideals

โœ Scribed by Maria Grazia Marinari; Luciana Ramella


Publisher
Springer
Year
2005
Tongue
English
Weight
244 KB
Volume
16
Category
Article
ISSN
0938-1279

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๐Ÿ“œ SIMILAR VOLUMES


Ad-nilpotent ideals of a Borel subalgebr
โœ Paola Cellini; Paolo Papi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a simple Lie algebra g and the orbits of Q/(h + 1) Q under the Weyl group ( Q being the coroot lattice and h the Coxeter number of g). From this result we deduce in a uniform way a counting formula for the ad-n

Ideals with bases of unbounded Borel com
โœ Piotr Borodulin-Nadzieja; Szymon Gล‚aฬงb ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 151 KB

We present several naturally defined ฯƒ-ideals which have Borel bases but, unlike for the classical examples, these ideals are not of bounded Borel complexity. We investigate set-theoretic properties of such ฯƒ-ideals.

Resolutions of a-stable ideals
โœ Vesselin Gasharov; Takayuki Hibi; Irena Peeva ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB

Let a = {a 1 a 2 โ€ข โ€ข โ€ข a n } be a sequence of integers or โˆž. We introduce a-stable ideals in a polynomial ring and study their homological properties. Our results generalize results on square-free monomial ideals by Aramova, Avramov, Herzog, Hibi, and Srinivasan.