𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Shift operators and factorial symmetric functions

✍ Scribed by I.P Goulden; A.M Hamel

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
422 KB
Volume
69
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Ribbon Operators and Hall–Littlewood Sym
Ribbon Operators and Hall–Littlewood Symmetric Functions
✍ Mike Zabrocki 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 185 KB

Given a partition \*=(\* 1 , \* 2 , ..., \* k ), let \* rc =(\* 2 &1, \* 3 &1, ..., \* k &1). It is easily seen that the diagram \*Â\* rc is connected and has no 2\_2 subdiagrams, we shall call it a ribbon. To each ribbon R, we associate a symmetric function operator S R . We may define the major in

Hecke Algebras, Difference Operators, an
Hecke Algebras, Difference Operators, and Quasi-Symmetric Functions
✍ Florent Hivert 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 470 KB

We define a new action of the symmetric group and its Hecke algebra on polynomial rings whose invariants are exactly the quasi-symmetric polynomials. We interpret this construction in terms of a Demazure character formula for the irreducible polynomial modules of a degenerate quantum group. We use t

Molecular integrals for Gaussian and exp
Molecular integrals for Gaussian and exponential-type functions: Shift operators
✍ J. Fernández Rico; J. J. Fernández; R. López; G. Ramírez 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 197 KB

Basis functions with arbitrary quantum numbers can be attained from those with the lowest numbers by applying shift operators. We derive the general expressions and the recurrence relations of these operators for Cartesian basis sets with Gaussian and exponential radial factors. In correspondence, t

Shift operators contained in contraction
Shift operators contained in contractions and pseudocontinuable matrixvalued Schur functions
✍ S. S. Boiko; V. K. Dubovoy; Bernd Fritzsche; Bernd Kirstein 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 294 KB

## Abstract We show that the pseudocontinuability of a matrix‐valued Schur function __θ__ in the unit disk is completely determined by the properties of the maximal shift and maximal coshift contained in a corresponding contractive operator __T__ which has the characteristic operator function __θ._