Hot-keys on this page
r m x p toggle line displays
j k next/prev highlighted chunk
0 (zero) top of page
1 (one) first highlighted chunk
r""" Catalog Of Crystals
.. SEEALSO::
- :mod:`sage.categories.crystals` - :mod:`sage.combinat.crystals.crystals`
Catalog -------
This is a catalog of crystals that are currently implemented in Sage:
* :class:`~sage.combinat.crystals.affine.AffineCrystalFromClassical` * :class:`~sage.combinat.crystals.affine.AffineCrystalFromClassicalAndPromotion` * :class:`AffineFactorization <sage.combinat.crystals.affine_factorization.AffineFactorizationCrystal>` * :class:`AffinizationOf <sage.combinat.crystals.affinization.AffinizationOfCrystal>` * :class:`AlcovePaths <sage.combinat.crystals.alcove_path.CrystalOfAlcovePaths>` * :class:`FastRankTwo <sage.combinat.crystals.fast_crystals.FastCrystal>` * :class:`GeneralizedYoungWalls <sage.combinat.crystals.generalized_young_walls.CrystalOfGeneralizedYoungWalls>` * :func:`HighestWeight <sage.combinat.crystals.highest_weight_crystals.HighestWeightCrystal>` * :class:`Induced <sage.combinat.crystals.induced_structure.InducedCrystal>` * :class:`KacModule <sage.combinat.crystals.kac_modules.CrystalOfKacModule>` * :func:`KirillovReshetikhin <sage.combinat.crystals.kirillov_reshetikhin.KirillovReshetikhinCrystal>` * :class:`KyotoPathModel <sage.combinat.crystals.kyoto_path_model.KyotoPathModel>` * :class:`Letters <sage.combinat.crystals.letters.CrystalOfLetters>` * :class:`LSPaths <sage.combinat.crystals.littelmann_path.CrystalOfLSPaths>` * :class:`NakajimaMonomials <sage.combinat.crystals.monomial_crystals.CrystalOfNakajimaMonomials>` * :class:`OddNegativeRoots <sage.combinat.crystals.kac_modules.CrystalOfOddNegativeRoots>` * :class:`ProjectedLevelZeroLSPaths <sage.combinat.crystals.littelmann_path.CrystalOfProjectedLevelZeroLSPaths>` * :class:`RiggedConfigurations <sage.combinat.rigged_configurations.rc_crystal.CrystalOfRiggedConfigurations>` * :class:`ShiftedPrimedTableaux <sage.combinat.shifted_primed_tableau.ShiftedPrimedTableaux_shape>` * :class:`Spins <sage.combinat.crystals.spins.CrystalOfSpins>` * :class:`SpinsPlus <sage.combinat.crystals.spins.CrystalOfSpinsPlus>` * :class:`SpinsMinus <sage.combinat.crystals.spins.CrystalOfSpinsMinus>` * :class:`Tableaux <sage.combinat.crystals.tensor_product.CrystalOfTableaux>`
Subcatalogs:
* :ref:`sage.combinat.crystals.catalog_infinity_crystals` * :ref:`sage.combinat.crystals.catalog_elementary_crystals` * :ref:`sage.combinat.crystals.catalog_kirillov_reshetikhin`
Functorial constructions:
* :class:`DirectSum <sage.combinat.crystals.direct_sum.DirectSumOfCrystals>` * :class:`TensorProduct <sage.combinat.crystals.tensor_product.TensorProductOfCrystals>`
TESTS::
sage: 'absolute_import' in dir(crystals) False """ from __future__ import absolute_import
from .letters import CrystalOfLetters as Letters from .spins import CrystalOfSpins as Spins from .spins import CrystalOfSpinsPlus as SpinsPlus from .spins import CrystalOfSpinsMinus as SpinsMinus from .tensor_product import CrystalOfTableaux as Tableaux from .fast_crystals import FastCrystal as FastRankTwo from .affine import AffineCrystalFromClassical as AffineFromClassical from .affine import AffineCrystalFromClassicalAndPromotion as AffineFromClassicalAndPromotion from .affine_factorization import AffineFactorizationCrystal as AffineFactorization from sage.combinat.crystals.affinization import AffinizationOfCrystal as AffinizationOf from .highest_weight_crystals import HighestWeightCrystal as HighestWeight from .alcove_path import CrystalOfAlcovePaths as AlcovePaths from .littelmann_path import CrystalOfLSPaths as LSPaths from .littelmann_path import CrystalOfProjectedLevelZeroLSPaths as ProjectedLevelZeroLSPaths from .kyoto_path_model import KyotoPathModel from .generalized_young_walls import CrystalOfGeneralizedYoungWalls as GeneralizedYoungWalls from .monomial_crystals import CrystalOfNakajimaMonomials as NakajimaMonomials from sage.combinat.rigged_configurations.tensor_product_kr_tableaux import TensorProductOfKirillovReshetikhinTableaux from sage.combinat.crystals.kirillov_reshetikhin import KirillovReshetikhinCrystal as KirillovReshetikhin from sage.combinat.rigged_configurations.rc_crystal import CrystalOfRiggedConfigurations as RiggedConfigurations from sage.combinat.shifted_primed_tableau import ShiftedPrimedTableaux_shape as ShiftedPrimedTableaux
from sage.combinat.crystals.induced_structure import InducedCrystal as Induced
from sage.combinat.crystals.kac_modules import CrystalOfKacModule as KacModule from sage.combinat.crystals.kac_modules import CrystalOfOddNegativeRoots as OddNegativeRoots
from .tensor_product import TensorProductOfCrystals as TensorProduct from .direct_sum import DirectSumOfCrystals as DirectSum
from . import catalog_kirillov_reshetikhin as kirillov_reshetikhin from . import catalog_infinity_crystals as infinity from . import catalog_elementary_crystals as elementary
# We don't want this to appear in tab completion del absolute_import |