Index
Adams operations , 3 2
Adjoint t o multiplication , 16
Affine Heck e algebra , 9 8
Almost dominant , 147, 163
Alphabet, 1
Alphabet o f inverses , 13
Arbogast's composit e derivative , 4 0
Arm, 5
Associated polynomials , 133
Biirman, 3 5
Bezout, Bezoutian , 5 2
Bazin relation , 188
Bell number , 8 5
Bernoulli number , 136
Bernoulli's approximation , 25 1
Bessel polynomial , 136
Binary form , 134
Binet-Cauchy theorem , 8
Binomial-type element , 3 2
Borchardt interpolation , 11 3
Bott theorem , 102
Bottom key , code , 166
Braid relations , 9 5
Calogero operators , 110
Canonical for m o f a binar y form , 134
Cauchy, 26 , 3 3
Cauchy formula , 13, 14, 161
Cauchy kernel , 14, 15, 163, 165
Cauchy-Jacobi symmetrization , 104
Cayley Graph , 9 6
Cayley-Hamilton theorem , 204 , 20 5
Charlier polynomial , 4 0
Chebyshev: se e Tchebychef , 4 3
Christoffel determinant , 121
Circulant, 8 5
Code o f a permutation , 159
Companion matrix , 5 1
Complete function , 5
Composite derivative , 4 0
Conjugate partition , 2
Content, 4
Continuous q-Hermite , 24 0
Cotangent, 2 6
Cumulant, 4 2
Cumulative sum , 2
Darboux-Christoffel kernel , 118
Darboux-Christoffel-Tchebychef formula , 132
Debiard-Sekiguchi-Macdonald operator , 195
Demazure characte r formula , 165
Derived alphabet , 4 2
Diagram, 1
Dilogarithm, 4 0
Dirichlet convolution , 3 9
Discrete measure , 131
Discriminant, 55 , 59 , 22 1
Divided difference , 9 5
Dominance order , 2
Dominant, 145
Double Schu r function , 150
Dyck path , word , 7 2
Ehresmann-Bruhat order , 9 9
Elementary symmetri c function , 5
Euler-Poincare characteristic , 23 2
Exact sequence , 190
Faa d e Bruno' s composit e derivative , 4 0
Faber polynomial , 4 5
Factorial Schu r function , 151
Faddeev's algorithm , 2 9
Ferrers' diagram , 1
Forgotten symmetri c function , 36 , 4 4
Free Ke y polynomial , 182
Frobenius cod e o f a partition , 4
Gamma function , 3 9
Garnir relation , 187
Gauss polynomial , 4 1
Gauss quadrature , 126
Gegenbauer polynomial , 4 4
Giambelli, 2 4
Grassmannian Schuber t polynomial , 150
Grothendieck, 4 0
Hammond operator , 17
Hankel form , 8 3
267
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