Finite Crystals#
- class sage.categories.finite_crystals.FiniteCrystals(base_category)#
Bases:
CategoryWithAxiom_singleton
The category of finite crystals.
EXAMPLES:
sage: C = FiniteCrystals() sage: C Category of finite crystals sage: C.super_categories() [Category of crystals, Category of finite enumerated sets] sage: C.example() Highest weight crystal of type A_3 of highest weight omega_1
- class TensorProducts(category, *args)#
Bases:
TensorProductsCategory
The category of finite crystals constructed by tensor product of finite crystals.
- extra_super_categories()#
EXAMPLES:
sage: FiniteCrystals().TensorProducts().extra_super_categories() [Category of finite crystals]
- example(n=3)#
Returns an example of highest weight crystals, as per
Category.example()
.EXAMPLES:
sage: B = FiniteCrystals().example(); B Highest weight crystal of type A_3 of highest weight omega_1
- extra_super_categories()#
EXAMPLES:
sage: FiniteCrystals().extra_super_categories() [Category of finite enumerated sets]