Lattices Generated by Transitive Sets of Root Subsystems Under Weyl Groups of A_l
Dengyin Wang · Journal of China University of Mining and Technology · 2006
The lattice generated by transitive sets of root subsystems under Weyl groups of type A_l was studied.Let L(μ) be a lattice generated by μ.At first the inclusion relations between the lattices of the same type is studied.Then the condition of root subsystems contained in a given lattice was listed.Finally,the geometrical properties of the lattices were described.