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math.RT2003★ 19 cited
A mixed hook-length formula for affine Hecke algebras
Maxim Nazarov
Consider the affine Hecke algebra corresponding to the group over a -adic field with the residue field of cardinality . Regard as an associative algebra ov…
math.RT2003★ 5 cited
Rational representations of Yangians associated with skew Young diagrams
Maxim Nazarov
Let be general linear Lie group over the complex field. The irreducible rational representations of the group are labeled by pairs of partitions and suc…
math.RT2002★ 31 cited
Representations of twisted Yangians associated with skew Young diagrams
Maxim Nazarov
Let be one of the complex Lie groups and . The irreducible finite-dimensional representations of the group are labeled by partitions satisfying certain…