Bijection classes for type \(E_{6,7}^{(1)}\)¶
Part of the (internal) classes which runs the bijection between rigged configurations and KR tableaux of type \(E_{6,7}^{(1)}\).
AUTHORS:
Travis Scrimshaw (2011-04-15): Initial version
- class sage.combinat.rigged_configurations.bij_type_E67.KRTToRCBijectionTypeE67(tp_krt)[source]¶
Bases:
KRTToRCBijectionAbstractSpecific implementation of the bijection from KR tableaux to rigged configurations for type \(E_{6,7}^{(1)}\).
- class sage.combinat.rigged_configurations.bij_type_E67.RCToKRTBijectionTypeE67(RC_element)[source]¶
Bases:
RCToKRTBijectionAbstractSpecific implementation of the bijection from rigged configurations to tensor products of KR tableaux for type \(E_{6,7}^{(1)}\).
- sage.combinat.rigged_configurations.bij_type_E67.endpoint6(r)[source]¶
Return the endpoint for \(B^{r,1}\) in type \(E_6^{(1)}\).
EXAMPLES:
sage: from sage.combinat.rigged_configurations.bij_type_E67 import endpoint6 sage: endpoint6(1) (1,) sage: endpoint6(2) (-3, 2) sage: endpoint6(3) (-1, 3) sage: endpoint6(4) (-3, 4) sage: endpoint6(5) (-2, 5) sage: endpoint6(6) (-1, 6)
>>> from sage.all import * >>> from sage.combinat.rigged_configurations.bij_type_E67 import endpoint6 >>> endpoint6(Integer(1)) (1,) >>> endpoint6(Integer(2)) (-3, 2) >>> endpoint6(Integer(3)) (-1, 3) >>> endpoint6(Integer(4)) (-3, 4) >>> endpoint6(Integer(5)) (-2, 5) >>> endpoint6(Integer(6)) (-1, 6)
- sage.combinat.rigged_configurations.bij_type_E67.endpoint7(r)[source]¶
Return the endpoint for \(B^{r,1}\) in type \(E_7^{(1)}\).
EXAMPLES:
sage: from sage.combinat.rigged_configurations.bij_type_E67 import endpoint7 sage: endpoint7(1) (-7, 1) sage: endpoint7(2) (-1, 2) sage: endpoint7(3) (-2, 3) sage: endpoint7(4) (-5, 4) sage: endpoint7(5) (-6, 5) sage: endpoint7(6) (-7, 6) sage: endpoint7(7) (7,)
>>> from sage.all import * >>> from sage.combinat.rigged_configurations.bij_type_E67 import endpoint7 >>> endpoint7(Integer(1)) (-7, 1) >>> endpoint7(Integer(2)) (-1, 2) >>> endpoint7(Integer(3)) (-2, 3) >>> endpoint7(Integer(4)) (-5, 4) >>> endpoint7(Integer(5)) (-6, 5) >>> endpoint7(Integer(6)) (-7, 6) >>> endpoint7(Integer(7)) (7,)