from typing import Any
from typing_extensions import Self

from sympy.liealgebras.cartan_type import Standard_Cartan

class TypeA(Standard_Cartan):
    def __new__(cls, n) -> Self: ...
    def dimension(self): ...
    def basic_root(self, i, j): ...
    def simple_root(self, i): ...
    def positive_roots(self) -> dict[Any, Any]: ...
    def highest_root(self): ...
    def roots(self): ...
    def cartan_matrix(self): ...
    def basis(self): ...
    def lie_algebra(self) -> str: ...
    def dynkin_diagram(self) -> str: ...
