Equations, like numbers, cannot always be split into simpler elements. Researchers have now proved that such “prime” equations become ubiquitous as equations grow larger. Prime numbers get all the ...

Mathematics of Computation, Vol. 55, No. 192 (Oct., 1990), pp. 705-722 (18 pages) We consider the bit-complexity of the problem stated in the title. Exact computations in algebraic number fields are ...

The colored HOMFLY polynomial is the quantum invariant of oriented links in S₃ associated with irreducible representations of the quantum group Uq(slN). In this paper, using an approach to calculate ...

Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...