On some properties of LS algebras

Rocco Chirivì

Type: Article

Publication Date: 2018-11-14

Citations: 2

DOI: https://doi.org/10.1142/s0219199718500852

Abstract

The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an irreducible projective (normal) toric variety. We prove that this algebra is the ring of invariants of a finite abelian group containing no pseudo-reflection acting on a polynomial ring. This is used to study the Gorenstein property for LS algebras. Further we show that any LS algebra is Koszul.

Locations

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+	Standard Monomial Theory and applications	1998	V. Lakshmibai Peter Littelmann Péter Magyar
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+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud
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+ PDF Chat	Determination of a class of Poincaré series.	1975	Ralph Fröberg
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+	Bruhat order of Coxeter groups and shellability	1982	Anders Björner Michelle L. Wachs
+	Some wonderful rings in algebraic geometry	1990	George R. Kempf
+	A characteristic free approach to invariant theory	1976	Corrado De Concini Claudio Procesi