• The algebra of differential operators for a Gegenbauer weight matrix 

      [OWP-2015-07] Ignacio Nahuel Zurrián (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      In this work we study in detail the algebra of differential operators $\mathcal{D}(W)$ associated with a Gegenbauer matrix weight. We prove that two second order operators generate the algebra, indeed $\mathcal{D}(W)$ is ...
    • 0605 - Convex and Algebraic Geometry 

      [OWR-2006-5] (2006) - (29 Jan - 04 Feb 2006)
      The subjects of convex and algebraic geometry meet primarily in the theory of toric varieties. Toric geometry is the part of algebraic geometry where all maps are given by monomials in suitable coordinates, and all equations ...
    • 0840 - Geometry and Arithmetic around Hypergeometric Functions 

      [OWR-2008-45] (2008) - (28 Sep - 04 Oct 2008)
    • Mehler-Heine asymptotics of a class of generalized hypergeometric polynomials : 

      [OWP-2013-23] Bracciali, Cleonice F.; Moreno-Balcázar, Juan José (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)
      We obtain a Mehler–Heine type formula for a class of generalized hypergeometric polynomials. This type of formula describes the asymptotics of polynomials scale conveniently. As a consequence of this formula, we obtain ...
    • 1508b - Mini-Workshop: Coideal Subalgebras of Quantum Groups 

      [OWR-2015-10] (2015) - (15 Feb - 21 Feb 2015)
      Coideal subalgebras of quantized enveloping algebras appear naturally if one considers quantum group analogs of Lie subalgebras. Examples appear in the theory of quantum integrable systems with boundary and in harmonic ...
    • 1240a - Mini-Workshop: Nichols Algebras and Weyl Groupoids 

      [OWR-2012-47] (2012) - (30 Sep - 06 Oct 2012)
      Nichols algebras are graded braided Hopf algebras satisfying a universal property. Many structural results of a Nichols algebra can be obtained by studying itsWeyl groupoid and its homology. In the mini-workshop, introductions ...
    • Multivariate Hybrid Orthogonal Functions 

      [OWP-2020-04] Bracciali, Cleonice F.; Pérez, Teresa E. (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-12)
      We consider multivariate orthogonal functions satisfying hybrid orthogonality conditions with respect to a moment functional. This kind of orthogonality means that the product of functions of different parity order ...
    • Plethysms, replicated Schur functions and series, with applications to vertex operators 

      [OWP-2010-12] Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C. (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-14)
      Specializations of Schur functions are exploited to define and evaluate the Schur functions $s_\lambda [\alpha X]$ and plethysms $s_\lambda [\alpha s_\nu(X))]$ for any $\alpha$-integer, real or complex. Plethysms are then ...
    • Time and band limiting for matrix valued functions, an example 

      [OWP-2015-08] Grünbaum, F. A.; Pacharoni, I.; Zurrián, Ignacio Nahuel (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ...
    • A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph 

      [OWP-2012-18] Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark (Mathematisches Forschungsinstitut Oberwolfach, 2012)
      We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a level-zero weight poset first considered by Littelmann. The lift into the affine Weyl ...