A strict totally coordinatized version of Kapranov and Voevodsky's 2-category 2Vect

In this paper we describe the 2-category 2Mat of 2-matrices, i.e., a strict totally coordinatized version of the 2-category 2Vect of Kapranov and Voevodsky finite dimensional 2-vector spaces, analogous to the category Mat of matrices which appears as the coordinatized version of the category Vect of...

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 2007-05, Vol.142 (3), p.407-428
Main Author: ELGUETA, JOSEP
Format: Article
Language:English
Subjects:
Mathematics
Matrix
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Summary:In this paper we describe the 2-category 2Mat of 2-matrices, i.e., a strict totally coordinatized version of the 2-category 2Vect of Kapranov and Voevodsky finite dimensional 2-vector spaces, analogous to the category Mat of matrices which appears as the coordinatized version of the category Vect of finite dimensional vector spaces. In particular, explicit formulas for the composition of 1-morphisms and the two compositions between 2-morphisms are given.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004106009881