Peer-Reviewed Journal Details
Mandatory Fields
Niemeyer, AC,Pfeiffer, G,Praeger, CE
Journal Of Symbolic Computation
On the complexity of multiplication in the Iwahori-Hecke algebra of the symmetric group
Optional Fields
Iwahori-Hecke algebra Finite Coxeter group Symmetric group Complexity
We present new efficient data structures for elements of Coxeter groups of type Am and their associated Iwahori Hecke algebras H(A(m)). Usually, elements of H(A(m)) are represented as simple coefficient list of length M = (m + 1)! with respect to the standard basis, indexed by the elements of the Coxeter group. In the new data structure, elements of H(A(m)) are represented as nested coefficient lists. While the cost of addition is the same in both data structures, the new data structure leads to a huge improvement in the cost of multiplication in H(A(m)). (C) 2016 Elsevier Ltd. All rights reserved.
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