The conjugation of complex matrices is a special case of a more general
construction which could be considered:  for any field F with an
automorphism phi   one might want to apply phi to vectors and matrices
over F "coordinatewise".   I don't know if SAGE yet has anything like
field automorphisms in it (I looked in the Category part of the
reference manual but could not see it) but I can easily imagine other
situations where this concept might be useful (think of Galois groups,
or --special case really-- Frobenius automorphisms of finite fields.

Having done that then it would still be a good idea to have the
Hermitian conjugate-transpose defined specifically for complex vectors
and matrices.

John
-- 
 Prof. J. E. Cremona             |
 University of Nottingham        | Tel.:  +44-115-9514920
 School of Mathematical Sciences | Fax:   +44-115-9514951
 University Park                 | Email: [EMAIL PROTECTED]
 Nottingham NG7 2RD, UK          |


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