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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