Equivalence between algebraic structures generated by parastatistics triple relations of
Green (1953) and Greenberg-Messiah (1965), and certain orthosymplectic ℤ 2× ℤ 2-graded …

When the relative commutation relations between a set of m parafermions and n parabosons
are of'relative parafermion type', the underlying algebraic structure is the classical …

The Howe dual pair allows the characterization of the classical Fourier transform (FT) on the
space of rapidly decreasing functions as the exponential of a well-chosen element of such …

The defining relations (triple relations) of n pairs of parafermion operators f±j (j= 1,..., n) are
known to coincide with a set of defining relations for the Lie algebra in terms of 2n …

An orthogonal basis of weight vectors for a class of infinite-dimensional representations of
the orthosymplectic Lie superalgebra $\mathfrak {o}\mathfrak {s}\mathfrak {p}(2m+ 1| 2n) $ is …

In this Letter it is studied the effects that an interaction scheme among universes can have in
the values of their cosmological constants. In the case of two interacting universes, the value …

A Gel'fand–Zetlin basis is introduced for the irreducible covariant tensor representations of
the Lie superalgebra gl (m∣ n)⁠. Explicit expressions for the generators of the Lie …

The parastatistics algebra is a superalgebra with (even) parafermi and (odd) parabose
creation and annihilation operators. The states in the parastatistics Fock-like space are …

We introduce ringed spaces, referred to as para-manifolds, whose non-commutative
nilpotent coordinates naturally describe parafermions at the classical level in a similar way …

It is well-known that polynomials decompose into spherical harmonics. This result is called
separation of variables or the Fischer decomposition. In the paper we prove the Fischer …