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ANALYSIS ON COMPACT LIE GROUPS OF LARGE DIMENSION AND ON CONNECTED COMPACT GROUPS
LIE GROUPS LARGE DIMENSION
2015/8/26
The study of Gaussian convolution semigroups is a subject at the cross-
road between abstract and concrete problems in harmonic analysis. This article suggests
selected open problems that are in lar...
On Discretization of Tori of Compact Simple Lie Groups II
Discretization of Tori Compact Simple Lie Groups II Mathematical Physics
2012/6/14
The discrete orthogonality of special function families, called $C$- and $S$-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivn\'ak and Patera (2009 J...
Modified Symplectic Structures in Cotangent Bundles of Lie Groups
Symplectic Mechanics Noncommutative Configuration Space
2010/7/5
In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = RN, by additional terms implying the Poisson non-commutativity of both...
On Integrable Systems Related to Semisimple Lie Groups
Integrable Systems Semisimple Lie Groups
2010/4/15
Quantum scattering systems related to the noncompact semisimple Lie groups G in the sense that the Hamiltonian of the system can be written as a function of the Casimir operator of G are considered. T...