Two-sided vector spaces

Details Two-sided vector spaces Two-sided vector spaces

2009-03-02

arxiv.org/abs/0903.0357v1

Linear Algebra Appl., 420 (2007), 339-360

Mathematics

K-Theory and Homology

22 pages

Scientific paper

We study the structure of two-sided vector spaces over a perfect field $K$. In particular, we give a complete characterization of isomorphism classes of simple two-sided vector spaces which are left finite-dimensional. Using this description, we compute the Quillen $K$-theory of the category of left finite-dimensional, two-sided vector spaces over $K$. We also consider the closely related problem of describing homomorphisms $\phi:K\to M_n(K)$.

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