On the raising operators of Alfred Young

1979 ◽  
pp. 181-198 ◽  
Author(s):  
A. M. Garsia ◽  
J. Remmel
Keyword(s):  
Raising Operators

Symmetric functions and raising operators

1981 ◽  
Vol 10 (1) ◽  
pp. 15-43 ◽  
Author(s):  
A. M. Garsia ◽  
J. Remmel
Keyword(s):  
Symmetric Functions ◽  
Raising Operators

scholarly journals LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS

2009 ◽  
Vol 12 (03) ◽  
pp. 387-399 ◽  
Author(s):  
EUGENE LYTVYNOV ◽  
IRINA RODIONOVA
Keyword(s):  
Orthogonal Polynomials ◽  
Real Line ◽  
Meixner Polynomials ◽  
The Real ◽  
Raising Operators ◽  
Meixner Class

We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line.

scholarly journals Double theta polynomials and equivariant Giambelli formulas

2015 ◽  
Vol 160 (2) ◽  
pp. 353-377 ◽  
Author(s):  
HARRY TAMVAKIS ◽  
ELIZABETH WILSON
Keyword(s):  
Equivariant Cohomology ◽  
Cohomology Ring ◽  
Generators And Relations ◽  
Raising Operators ◽  
Schubert Classes ◽  
Symplectic Grassmannians

AbstractWe 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-polynomials and Q-polynomials. These double theta polynomials give Giambelli formulas which represent the equivariant Schubert classes in the torus-equivariant cohomology ring of symplectic Grassmannians, and we employ them to obtain a new presentation of this ring in terms of intrinsic generators and relations.

On the First-Order Raising Operators for the Hamiltonians in Two Variables

1976 ◽  
Vol 55 (5) ◽  
pp. 1684a-1684a
Author(s):  
Yoshihiko Miyachi ◽  
Yasutaro Takao
Keyword(s):  
First Order ◽  
Raising Operators

scholarly journals HAHN'S PROBLEM WITH RESPECT TO SOME PERTURBATIONS OF THE RAISING OPERATOR \(X-c\)

2020 ◽  
Vol 6 (2) ◽  
pp. 15
Author(s):  
Baghdadi Aloui ◽  
Jihad Souissi
Keyword(s):  
Orthogonal Polynomial ◽  
Complex Number ◽  
Classical Orthogonal Polynomial ◽  
Arbitrary Complex Number ◽  
Raising Operators ◽  
Charlier Polynomial ◽  
Arbitrary Complex ◽  
Raising Operator

In this paper, we study the Hahn's problem with respect to some raising operators perturbed of the operator \(X-c\), where \(c\) is an arbitrary complex number. More precisely, the two following characterizations hold: up to a normalization, the \(q\)-Hermite (resp. Charlier) polynomial is the only \(H_{\alpha,q}\)-classical (resp. \(\mathcal{S}_{\lambda}\)-classical) orthogonal polynomial, where \(H_{\alpha, q}:=X+\alpha H_q\) and \(\mathcal{S}_{\lambda}:=(X+1)-\lambda\tau_{-1}.\)

scholarly journals AdS 5 × S5 supergravity vertex operators

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Thiago Fleury ◽  
Lucas N. S. Martins
Keyword(s):  
Vertex Operators ◽  
Type Ii ◽  
Pure Spinor ◽  
Numerical Techniques ◽  
Huge Number ◽  
Raising Operators ◽  
Spinor Formalism ◽  
String Amplitudes ◽  
Pure Spinor Formalism ◽  
First Time

Abstract In any type II superstring background, the supergravity vertex operators in the pure spinor formalism are described by a gauge superfield. In this paper, we obtain for the first time an explicit expression for this superfield in an AdS5 × S5 background. Previously, the vertex operators were only known close to the boundary of AdS5 or in the minus eight picture. Our strategy for the computation was to apply eight picture raising operators in the minus eight picture vertices. In the process, a huge number of terms are generated and we have developed numerical techniques to perform intermediary simplifications. Alternatively, the same numerical techniques can be used to compute the vertices directly in the zero picture by constructing a basis of invariants and fitting for the coefficients. One motivation for constructing the vertex operators is the computation of AdS5 × S5 string amplitudes.

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