You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
GAP's character tables could be better exposed from Sage. One
approach is to just improve the GAP interface: conversion of objects
back to Sage (see #7890), introspection, ... Another approach is to
implement an abstract class in Sage for character tables, with a
concrete subclass whose elements wraps GAP's character tables. The
later offers a more integrated user experience, at the price of
needing to explicitly wrap all GAP's functions.
Here is a rough draft of an abstract class, written during Sage Days 20:
class AbstractCharacterTable
def row_indices()
"""
That's irredinfo in Chevie (a Family of irreducible reps)
"""
def column_indices()
classparam / classname in Chevie (a Family of conjugacy classes)
def __getitem__(self, r,c)
def powermap(self, c, n)
"""
Specific to group
INPUT:
- ``c`` - the index of a conjugacy class C
Returns the index of the conjugacy class of x^n for x in C
"""
def irreducibles(self):
"""
returns the character table as a matrix
"""
def orders(self):
"""
orders of the conjugacy classes
"""
def centralizer(self):
"""
cardinality of the centralizer of the conjugacy classes
"""
For the record, here is the data structure of a character table of a
Coxeter group in GAP3:
GAP's character tables could be better exposed from Sage. One
approach is to just improve the GAP interface: conversion of objects
back to Sage (see #7890), introspection, ... Another approach is to
implement an abstract class in Sage for character tables, with a
concrete subclass whose elements wraps GAP's character tables. The
later offers a more integrated user experience, at the price of
needing to explicitly wrap all GAP's functions.
Here is a rough draft of an abstract class, written during Sage Days 20:
For the record, here is the data structure of a character table of a
Coxeter group in GAP3:
Component: group theory
Issue created by migration from https://trac.sagemath.org/ticket/9293
The text was updated successfully, but these errors were encountered: