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Symmetric affine surfaces with torsion
(Elsevier Science, 2019-10)
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete classification of the local geometries possible if the torsion is assumed parallel. This generalizes a previous result of Opozda ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting in a Hilbert space of complex functions ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2012)
Nonexistence of invariant semigroups in affine symmetric spaces
(SpringerNew YorkEUA, 2001)
Geometric proprieties of invariant connections on View the MathML source
(2003)
This article describes some geometric aspects of a class of affine connections in homogeneous spaces, that emerged in an earlier paper by the authors, related to the geometry of statistical models. We describe the geodesics ...
Geometric proprieties of invariant connections on SL(n, R)/SO(n)
(Elsevier Science BvAmsterdamHolanda, 2003)
Tableaux on k+1-cores, reduced words for affine permutations, and k-Schur expansions
(Elsevier Inc., 2007)
Affine Lie algebraic origin of constrained KP hierarchies
(1995-12-01)
An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This hierarchy is analyzed using two approaches, namely linear matrix eigenvalue problem on hermitian symmetric space and ...
Affine Lie algebraic origin of constrained KP hierarchies
(1995-12-01)
An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This hierarchy is analyzed using two approaches, namely linear matrix eigenvalue problem on hermitian symmetric space and ...