Orbital Varieties, Goldie Rank Polynomials and Unitary Highest Weight Modules

摘要: Publisher Summary This chapter briefly explains orbital varieties, Goldie rank polynomials, and unitary highest weight modules. The polynomials are intimately related to the geometry of nilpotent orbits via what was at first just a strange coincidence with Springer theory. However, one can now directly attach orbit that not quite same, but span same space. These characteristic varieties attached given orbit. It turns out these by exactly formulae, involving geometric analogs Kazhdan-Lusztig be different. gives an entirely new twist method insight into from representation theory rather than vice versa. relationship between allows conclude latter (and hence former) expressed as positive linear combination products (distinct) roots.