81.3 Operations and functions for Hecke algebras

Group:

returns the Coxeter group from which the Hecke algebra was generated.

Print:

prints the Hecke algebra in a form which can be read back into GAP.

SchurElements:

see the explicit description in Sections SchurElement and SchurElements.

CharTable:

returns the character table of the Hecke algebra. This is a record with exactly the same components as for the corresponding finite Coxeter group but where the component irreducibles contains the values of the irreducible characters of the algebra on basis elements T_w where w runs over the elements in the component classtext. Thus, the value are now polynomials in the parameters Representations of Iwahori-Hecke algebras.

Basis:

the T basis is described in the section below. Other bases are described in chapter Kazhdan-Lusztig polynomials and bases.

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