Degrees and rationality of characters in the principal block of $$A_n$$
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DOI: 10.1007/s00013-020-01539-z
Abstract: Given two primes p and q, we study degrees and rationality of irreducible characters in the principal p-block of $${\mathfrak {S}}_n$$ and $${\mathfrak {A}}_n$$ , the symmetric and alternating groups. In particular, we show that… read more here.
Keywords: block; characters principal; degrees rationality; principal block ... 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