A Spanning Set and Potential Basis of the Mixed Hecke Algebra on Two Fixed Strands
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DOI: 10.1007/s00009-018-1240-7
Abstract: The mixed braid groups $$B_{2,n}, \ n \in \mathbb {N}$$B2,n,n∈N, with two fixed strands and n moving ones, are known to be related to the knot theory of certain families of 3-manifolds. In this paper,… read more here.
Keywords: two fixed; mixed hecke; basis; fixed strands ... See more keywords
Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra
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DOI: 10.1007/s10801-018-0832-4
Abstract: We combinatorially describe entries of the transition matrices which relate monomial bases of the zero-weight space of the quantum matrix bialgebra. This description leads to a combinatorial rule for evaluating induced sign characters of the… read more here.
Keywords: induced sign; sign characters; quantum matrix; hecke algebra ... See more keywords
Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
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DOI: 10.1007/s11005-021-01436-8
Abstract: We give an explicit Baxterisation formula for the fused Hecke algebra and its classical limit for the algebra of fused permutations. These algebras replace the Hecke algebra and the symmetric group in the Schur--Weyl duality… read more here.
Keywords: algebra matrices; fused hecke; baxterisation; hecke algebra ... See more keywords
Adjustment matrices for the principal block of the Iwahori-Hecke algebra H5e
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DOI: 10.1016/j.jalgebra.2020.07.015
Abstract: Abstract James's Conjecture predicts that the adjustment matrix for blocks of the Iwahori-Hecke algebra of the symmetric group is the identity matrix when the weight of the block is strictly less than the characteristic of… read more here.
Keywords: algebra; iwahori hecke; adjustment; matrix ... See more keywords
Matrix units and primitive idempotents for the Hecke algebra of type Dn
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DOI: 10.1016/j.jpaa.2021.106867
Abstract: Abstract Let n ∈ Z ≥ 4 and H q ( D n ) be the semisimple Hecke algebra of type D n with Hecke parameter q ∈ K × . For each simple H… read more here.
Keywords: primitive idempotents; algebra type; units primitive; hecke algebra ... See more keywords