๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Gorensteinness of Invariant Subrings of Quantum Algebras

โœ Scribed by N Jing; J.J Zhang


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
173 KB
Volume
221
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Gorenstein Algebras of Veronese Type
โœ Emanuela De Negri; Takayuki Hibi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 209 KB

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. แฎŠ 1997 Academic Press each 1 F i F n. Such an algebra is called an algebra

Initial Ideals, Veronese Subrings, and R
โœ D. Eisenbud; A. Reeves; B. Totaro ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 792 KB

AND BUrt Totaro \({ }^{8}\) Department of Mathematics, University of Chicago, Chicago, Illinois 60637

Oriented Quantum Algebras and Invariants
โœ Louis H Kauffman; David E Radford ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 300 KB

In our previous work oriented quantum algebras were motivated and introduced in a very natural categorical setting within the context of knots and links, some examples were discussed, and a rudimentary theory of oriented quantum algebras was sketched. Invariants of knots and links can be computed fr

A Note on the Multiplicities of Gorenste
โœ Hema Srinivasan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB

In this note we give a formula for the multiplicities of homogenous Gorenstein algebras. Herzog, Huneke, and Srinivasan have conjectured bounds for the multiplicities of homogeneous CohenแސMacaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolution

Invariant Theory of Canonical Algebras
โœ Mรกtyรกs Domokos; Helmut Lenzing ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB

Based on the first fundamental theorem of classical invariant theory we present a reduction technique for computing relative invariants for quivers with relations. This is applied to the invariant theory of canonical algebras and yields an explicit ลฝ construction of the moduli spaces together with t