Electronic Resource
Springer
Compositio mathematica
111 (1998), S. 111-122
ISSN:
1570-5846
Keywords:
Knuth-Robinson-Schensted correspondence
;
determinantal idea
;
Rees algebra
;
initial algebra
;
Cohen-Macaulay ring
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The goal of this paper is to determine Göbner bases of powers of determinantal ideals and to show that the Rees algebras of (products of) determinantal ideals are normal and Cohen–Macaulay if the characteristic of the base field is non-exceptional. Our main combinatorial result is a generalization of Schensted's Theorem on the Knuth–Robinson–Schensted correspondence.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1000287107308
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