Characterization of unipotent matrices
نویسندگان
چکیده
منابع مشابه
Unipotent Jacobian Matrices and Univalent Maps
The Jacobian Conjecture would follow if it were known that real polynomial maps with a unipotent Jacobian matrix are injective. The conjecture that this is true even for C maps is explored here. Some results known in the polynomial case are extended to the C context, and some special cases are resolved.
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It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical representation theory of the symmetric group. This paper begins by exploring a connection to the ring of symmetric functions in non-commuting variab...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1969
ISSN: 0022-314X
DOI: 10.1016/0022-314x(69)90041-9