Shahn Majid
*-Structures on Braided Spaces
The paper is published: J. Math. Phys. 36, 8 (1995) 4436-4449

MSC:

46N50 Applications in quantum physics

58B30 Noncommutative differential geometry and topology, See also {46L30, 46L87, 46L89}

81R50 Quantum groups and related algebraic methods, See Also {16W30, 17B37}

22E70 Applications of Lie groups to physics; explicit representations, See also {81R05, 81R10}

Abstract: $*$-structures on quantum and braided
spaces of the type defined via an R-matrix are studied. These include
$q$-Minkowski and
$q$-Euclidean spaces as additive braided groups. The duality between
the $*$-braided groups of vectors and covectors is proved and some
first applications to braided geometry are made.

Keywords: *-structures on quantum and braided spaces, R-matrix, q-Minkowski and q-Euclidean spaces, braided geometry