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Dimensions of quantum determinantal rings

Published online by Cambridge University Press:  25 July 2002

T. H. Lenagan  and
L. Rigal
T. H. Lenagan
Affiliation:
Department of Mathematics, J.C.M.B., Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, Scotland, UK e-mail: tom@maths.ed.ac.uk
L. Rigal
Affiliation:
Université Jean Monnet (Saint-Étienne), Faculté des Sciences et Techniques, Département de Mathématiques, 23 rue du Docteur Paul Michelon, 42023 Saint-Étienne Cédex 2, France e-mail: laurent.rigal@univ-st-etienne.fr
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Abstract

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We calculate the height of quantum determinantal ideals in the algebra of quantum matrices, and also the Gelfand-Kirillov, Krull and Classical Krull dimensions of the corresponding quantum determinantal factors.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 285 - 292
Copyright
2002 Glasgow Mathematical Journal Trust