notatio

GelfandTsetlinPattern ​

A name from the enumeratio catalogue with no kernel of its own yet; this page carries its crosswalk only.

Catalogued in the enumeratio database; not yet written up here.

SageMathGelfandTsetlinPatterns(n, k)via GelfandTsetlin
GelfandTsetlinPattern(...)Catalogued in the enumeratio database; not yet written up here.
Typed signatures
TypePackageApplies
(list<integer>) -> gelfand_tsetlin_patterncombinatoricsalways

Domain: Combinatorics

Maps

Into and out of GelfandTsetlinPattern, called as CombinatorialMap(x, "Name"). Properties are the laws we state and what FindStat records.

8 more in FindStat, not implemented here
  • Mp00036GelfandTsetlinPattern → SemistandardTableauSurjectionto semistandard tableau
  • Mp00076SemistandardTableau → GelfandTsetlinPatternInjectionGraded mapto Gelfand-Tsetlin pattern
  • Mp00078GelfandTsetlinPattern → GelfandTsetlinPatternGraded mapInvolutionSchuetzenberger involution
  • Mp00082StandardTableau → GelfandTsetlinPatternInjectionGraded mapto Gelfand-Tsetlin pattern
  • Mp00210GelfandTsetlinPattern → GelfandTsetlinPatternBijectionGraded mappromotion
  • Mp00211GelfandTsetlinPattern → GelfandTsetlinPatternBijectionGraded mapinverse promotion
  • Mp00212GelfandTsetlinPattern → GelfandTsetlinPatternBijectionGraded mapinverse cycle
  • Mp00213GelfandTsetlinPattern → GelfandTsetlinPatternBijectionGraded mapcycle
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