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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Zeros of complete symmetric polynomials over finite fields
有限域 完全对称 多项式 零点
2023/4/13
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Local Method for Compositional Inverses of Permutation Polynomials
置换 多项式复合逆 局部方法
2023/4/18
Random Regression Models Using Legendre Polynomials to Estimate Genetic Parameters for Test-day Milk Protein Yields in Iranian Holstein Dairy Cattle
Holstein Dairy Cattle Milk Protein Yields Random Regression Model Test-day Records
2016/12/28
The objective of this study was to estimate the genetic parameters of milk protein yields in Iranian Holstein dairy cattle. A total of 1,112,082 test-day milk protein yield records of 167,269 first la...
We use the Pieri and Giambelli formulas of [BKT1, BKT3] and
the calculus of raising operators developed in [BKT2, T1] to prove a tableau
formula for the eta polynomials of [BKT3] and the Stanley sym...
DOUBLE THETA POLYNOMIALS AND EQUIVARIANT GIAMBELLI FORMULAS
EQUIVARIANT GIAMBELLI FORMULAS DOUBLE THETA POLYNOMIALS
2015/12/17
We use Young’s raising operators to introduce and study double
theta polynomials, which specialize to both the theta polynomials of Buch,
Kresch, and Tamvakis, and to double (or factorial) Schur S-p...
DOUBLE ETA POLYNOMIALS AND EQUIVARIANT GIAMBELLI FORMULAS
DOUBLE ETA POLYNOMIALS EQUIVARIANT GIAMBELLI FORMULAS
2015/12/17
We use Young’s raising operators to introduce and study double
eta polynomials, which are an even orthogonal analogue of Wilson’s double
theta polynomials. Our double eta polynomials give Giambelli ...
STANDARD CONJECTURES FOR THE ARITHMETIC GRASSMANNIAN G(2; N) AND RACAH POLYNOMIALS
STANDARD CONJECTURES RACAH POLYNOMIALS
2015/12/17
We prove the arithmetic Hodge index and hard Lefschetz conjectures for the Grassmannian G = G(2; N) parametrizing
lines in projective space, for the natural arithmetic Lefschetz operator dened via t...
DOUBLE SCHUBERT POLYNOMIALS AND DEGENERACY LOCI FOR THE CLASSICAL GROUPS
DOUBLE SCHUBERT POLYNOMIALS DEGENERACY LOCI
2015/12/17
We propose a theory of double Schubert polynomials Pw(X;Y )
for the Lie types B, C, D which naturally extends the family of Lascoux and
Schutzen Ä berger in type A. These polynomials satisfy po...
Fulton's universal Schubert polynomials [F3] represent degeneracy loci for morphisms of vector bundles with rank conditions coming from a
permutation.
Fulton's universal Schubert polynomials give cohomology formulas
for a class of degeneracy loci, which generalize Schubert varieties. The Ktheoretic quiver formula of Buch expresses the structure she...
STABLE GROTHENDIECK POLYNOMIALS AND K-THEORETIC FACTOR SEQUENCES
STABLE GROTHENDIECK POLYNOMIALS K-THEORETIC FACTOR
2015/12/17
We formulate a nonrecursive combinatorial rule for the expansion
of the stable Grothendieck polynomials of [Fomin-Kirillov '94] in the basis of
stable Grothendieck polynomials for partitions. This g...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF SYMPLECTIC FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
2015/12/17
Let X = Sp2n/B the flag variety of the symplectic group. We
propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF ORTHOGONAL FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
2015/12/17
We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the
cohomology ring of the orthogonal flag variety X = SON...
We use Young’s raising operators to give short and uniform proofs
of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.