Skip to content

SpinForge

Irreducible representations

spglib/spinforge

Irreducible representations¶

Real irreducible-representation and intertwiner utilities used by the spin-space-group enumerators.

irreps ¶

RealIrrepType `dataclass` ¶

RealIrrepType(dim: int)

dim `instance-attribute` ¶

dim: int

get_orientation_preserving_real_intertwiner ¶

get_orientation_preserving_real_intertwiner(rep1: NDArrayFloat, rep2: NDArrayFloat, table: NDArrayInt, *, atol: float = ATOL, max_num_random_generations: int = MAX_NUM_RANDOM_GENERATIONS) -> NDArrayFloat | None

Return an orientation-preserving intertwiner matrix such that rep1 @ matrix == matrix @ rep2 if they are equivalent and such a matrix exists.

get_real_intertwiner ¶

get_real_intertwiner(rep1: NDArrayFloat, rep2: NDArrayFloat, *, atol: float = ATOL, max_num_random_generations: int = MAX_NUM_RANDOM_GENERATIONS) -> NDArrayFloat | None

Calculate intertwiner matrix between rep1 and rep2 such that rep1 @ matrix == matrix @ rep2 if they are equivalent.

Returns:

Name	Type	Description
`matrix`	`(array, (dim, dim))`

get_real_irreps ¶

get_real_irreps(irreps: list[NDArrayComplex]) -> list[tuple[NDArrayFloat, RealIrrepType]]

get_regular_representation ¶

get_regular_representation(table: NDArrayInt) -> NDArrayInt

multi_direct_sum ¶

multi_direct_sum(representations: list[tuple[NDArrayFloat, RealIrrepType]], combination: list[int]) -> tuple[NDArrayFloat, list[RealIrrepType]]