Symmetry of the barochronous motions of a gas.
Ternary symmetries and the Lorentz group
We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a Z₃-graded three-form on a Z₃-graded cubic algebra representing quarks endowed with non-standard commutation laws. The ternary commutation relations on an algebra generated by two elements lead to cubic combinations of three quarks or antiquarks that transform as Lorentz spinors, and binary quark-anti-quark combinations that transform as Lorentz vectors.
The differential form method for finding symmetries.
The geometry of the octet
The heat kernel on Lie groups.
The higher transvectants are redundant
Let denote generic binary forms, and let denote their -th transvectant in the sense of classical invariant theory. In this paper we classify all the quadratic syzygies between the . As a consequence, we show that each of the higher transvectants is redundant in the sense that it can be completely recovered from and . This result can be geometrically interpreted in terms of the incomplete Segre imbedding. The calculations rely upon the Cauchy exact sequence of -representations, and the...
The Littlewood-Richardson rule - the cornerstone for computing group properties
The Oscillator Character Formula, for isometry groups of splits in deep stable range.
The quantum double of a (locally) compact group.
The representation theory of the Temperley-Lieb algebras.
Tools for verifying classical and quantum superintegrability.
Transforms associated to square integrable group representations. II : examples
Two supergeometries from fourfold gradings of superalgebras
Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere.
Une introduction à la représentation métaplectique
Unitary dilations of commutation relations asscociated to alternating bilinear forms.
Weyl quantization for the semidirect product of a compact Lie group and a vector space
Let be the semidirect product where is a semisimple compact connected Lie group acting linearly on a finite-dimensional real vector space . Let be a coadjoint orbit of associated by the Kirillov-Kostant method of orbits with a unitary irreducible representation of . We consider the case when the corresponding little group is the centralizer of a torus of . By dequantizing a suitable realization of on a Hilbert space of functions on where , we construct a symplectomorphism between...
Zur Berechnung der Clebsch-Gordan-Koeffizienten halbeinfacher Liescher Gruppen. II. Die Berechnung der Clebsch-Gordan- Koeffizienten der SU(3)
Zur Berechnung der Clebsch-Gordan-Koeffizienten halbeinfacher Liescher Gruppen. I. Ein allgemeines Verfahren; Anwendung auf die Gruppe SU (2)
Алгебраический анзац Бете для SO(N)-инвариантных трансфер-матриц