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Young bitableaux, lattice paths and Hilbert functions

โœ Scribed by Sudhir R. Ghorpade


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
594 KB
Volume
54
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES


Hilbert Functions and Level Algebras
โœ Young Hyun Cho; Anthony Iarrobino ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 122 KB

The authors consider certain quotients A s RrI of the polynomial ring R s w x K x , . . . , x over an arbitrary field K. They first determine upper and lower 1 r bounds on the Hilbert functions of any algebra having the form A s RrV, where ลฝ . V is the largest ideal of R agreeing in degrees at least

MacMahon Symmetric Functions, the Partit
โœ Mercedes H. Rosas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the orbits of sets of functions indexed by partit