Once more on parastatistics
VN Tolstoy - Physics of Particles and Nuclei Letters, 2014 - Springer
Equivalence between algebraic structures generated by parastatistics triple relations of
Green (1953) and Greenberg-Messiah (1965), and certain orthosymplectic ℤ 2× ℤ 2-graded …
Green (1953) and Greenberg-Messiah (1965), and certain orthosymplectic ℤ 2× ℤ 2-graded …
The-graded Lie superalgebra and new parastatistics representations
NI Stoilova, J Van der Jeugt - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
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 …
are of'relative parafermion type', the underlying algebraic structure is the classical …
Generalized Fourier Transforms Arising from the Enveloping Algebras of 𝔰𝔩 (2) and 𝔬𝔰𝔭 (1∣ 2)
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 …
space of rapidly decreasing functions as the exponential of a well-chosen element of such …
The parafermion Fock space and explicit representations
NI Stoilova, J Van der Jeugt - Journal of Physics A: Mathematical …, 2008 - iopscience.iop.org
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 …
known to coincide with a set of defining relations for the Lie algebra in terms of 2n …
A class of infinite-dimensional representations of the Lie superalgebra and the parastatistics Fock space
NI Stoilova, J Van der Jeugt - Journal of Physics A: Mathematical …, 2015 - iopscience.iop.org
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 …
the orthosymplectic Lie superalgebra $\mathfrak {o}\mathfrak {s}\mathfrak {p}(2m+ 1| 2n) $ is …
Interacting universes and the cosmological constant
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 …
the values of their cosmological constants. In the case of two interacting universes, the value …
Gel'fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl (m∣ n)
NI Stoilova, J Van der Jeugt - Journal of mathematical physics, 2010 - pubs.aip.org
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 Lie superalgebra gl (m∣ n). Explicit expressions for the generators of the Lie …
Parastatistics algebra, Young tableaux and the super plactic monoid
JL Loday, T Popov - International Journal of Geometric Methods in …, 2008 - World Scientific
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 …
creation and annihilation operators. The states in the parastatistics Fock-like space are …
[HTML][HTML] Noncommutative spaces for parafermions
RB Zhang - Journal of Geometry and Physics, 2024 - Elsevier
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 …
nilpotent coordinates naturally describe parafermions at the classical level in a similar way …
Fischer decomposition for spinor valued polynomials in several variables
R Lavicka, V Soucek - arXiv preprint arXiv:1708.01426, 2017 - arxiv.org
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 …
separation of variables or the Fischer decomposition. In the paper we prove the Fischer …