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Adding a reference to IwahoriHeckeAlgebra from HeckeAlgebraSymmetricGroupT
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src/sage/combinat/symmetric_group_algebra.py

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@@ -3004,6 +3004,13 @@ def HeckeAlgebraSymmetricGroupT(R, n, q=None):
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[2, 3, 1]
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sage: TestSuite(H3).run()
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.. NOTE::
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:class:`~sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra` gives
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a different implementation of the Iwahori-Hecke algebras of a Coxeter
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system `(W,S)`. This includes the Hecke algebras of the symmetric group
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as special case.
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"""
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return HeckeAlgebraSymmetricGroup_t(R, n, q)
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