64 citations · 361 across the 27 of their papers we have counts for
27 papers
Once more on parastatistics
V. N. Tolstoy
Equivalence between algebraic structures generated by parastatisticstriple relations of Green (1953) and Greenberg -- Messiah (1965), and certain orthosymplectic $\mathbb{Z}_2\time…
Super-de Sitter and alternative super-Poincaré symmetries
V. N. Tolstoy
It is well-known that de Sitter Lie algebra contrary to anti-de Sitter one does not have a standard -graded superextension. We…
Extremal projectors for contragredient Lie (super)symmetries (short review)
V. N. Tolstoy
A brief review of the extremal projectors for contragredient Lie (super)symmetries (finite-dimensional simple Lie algebras, basic classical Lie superalgebras, infinite-dimensional…
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))
R. M. Asherova, Č. Burdík, M. Havlíček +2
For the quantum algebra U_q(gl(n+1)) in its reduction on the subalgebra U_q(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Z_q(gl(n+1),gl(n)) is give…
Twisted Quantum Deformations of Lorentz and Poincaré algebras
V. N. Tolstoy
We discussed twisted quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S.Zakrzewski cla…
On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization
S. M. Khoroshkin, I. I. Pop, M. E. Samsonov +2
We study classical twists of Lie bialgebra structures on the polynomial current algebra , where is a simple complex finite-dimensional Lie algebra.…